{"id":964,"date":"2025-12-31T15:01:42","date_gmt":"2025-12-31T11:31:42","guid":{"rendered":"https:\/\/mathsymbol.ir\/?page_id=964"},"modified":"2026-06-14T05:40:03","modified_gmt":"2026-06-14T02:10:03","slug":"%d8%aa%d9%88%d8%a7%d9%86","status":"publish","type":"page","link":"https:\/\/mathsymbol.ir\/?page_id=964","title":{"rendered":"\u062a\u0648\u0627\u0646"},"content":{"rendered":"\t\t
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\n\t\t\t\t\t\n\n\n\n\n\u0641\u0635\u0644 \u06f5 \u0631\u06cc\u0627\u0636\u06cc \u0646\u0647\u0645 - \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/title>\n<style>\n\/* =============================================\n MATH9-CH5 WIDGET \u2014 Scoped to #math9ch5\n No global background, glass-only cards\n ============================================= *\/\n\n#math9ch5 {\n --clr-primary: #6366f1;\n --clr-secondary: #8b5cf6;\n --clr-accent: #06b6d4;\n --clr-success: #10b981;\n --clr-warning: #f59e0b;\n --clr-danger: #ef4444;\n --clr-text: #1e293b;\n --clr-text-light: #475569;\n --clr-text-muted: #94a3b8;\n --glass-bg: rgba(255,255,255,0.55);\n --glass-bg-strong: rgba(255,255,255,0.72);\n --glass-border: rgba(255,255,255,0.75);\n --glass-shadow: 0 8px 32px rgba(99,102,241,0.10), 0 1.5px 8px rgba(99,102,241,0.07);\n --glass-blur: blur(14px);\n --radius-lg: 1.25rem;\n --radius-md: 0.875rem;\n --radius-sm: 0.5rem;\n --transition: 0.28s cubic-bezier(0.4,0,0.2,1);\n --font-fa: 'Vazirmatn', 'Tahoma', 'Arial', sans-serif;\n\n font-family: var(--font-fa);\n direction: rtl;\n color: var(--clr-text);\n background: transparent !important;\n padding: 0;\n margin: 0;\n width: 100%;\n box-sizing: border-box;\n}\n\n#math9ch5 *, #math9ch5 *::before, #math9ch5 *::after {\n box-sizing: border-box;\n margin: 0;\n padding: 0;\n}\n\n\/* \u2500\u2500 Glass mixin \u2500\u2500 *\/\n#math9ch5 .glass {\n background: var(--glass-bg);\n backdrop-filter: var(--glass-blur);\n -webkit-backdrop-filter: var(--glass-blur);\n border: 1.5px solid var(--glass-border);\n box-shadow: var(--glass-shadow);\n border-radius: var(--radius-lg);\n}\n\n#math9ch5 .glass-strong {\n background: var(--glass-bg-strong);\n backdrop-filter: blur(20px);\n -webkit-backdrop-filter: blur(20px);\n border: 1.5px solid var(--glass-border);\n box-shadow: var(--glass-shadow);\n border-radius: var(--radius-lg);\n}\n\n\/* \u2500\u2500 Header \u2500\u2500 *\/\n#math9ch5 .m9-header {\n text-align: center;\n padding: 2rem 1.5rem 1.5rem;\n margin-bottom: 1.5rem;\n background: linear-gradient(135deg, rgba(99,102,241,0.12) 0%, rgba(139,92,246,0.10) 50%, rgba(6,182,212,0.08) 100%);\n backdrop-filter: blur(18px);\n -webkit-backdrop-filter: blur(18px);\n border: 1.5px solid rgba(255,255,255,0.70);\n box-shadow: 0 4px 24px rgba(99,102,241,0.10);\n border-radius: var(--radius-lg);\n position: relative;\n overflow: hidden;\n}\n\n#math9ch5 .m9-header::before {\n content: '';\n position: absolute;\n top: -40px; right: -40px;\n width: 180px; height: 180px;\n background: radial-gradient(circle, rgba(99,102,241,0.15) 0%, transparent 70%);\n pointer-events: none;\n}\n\n#math9ch5 .m9-header::after {\n content: '';\n position: absolute;\n bottom: -40px; left: -40px;\n width: 150px; height: 150px;\n background: radial-gradient(circle, rgba(6,182,212,0.13) 0%, transparent 70%);\n pointer-events: none;\n}\n\n#math9ch5 .m9-header-badge {\n display: inline-flex;\n align-items: center;\n gap: 0.4rem;\n background: rgba(99,102,241,0.12);\n border: 1px solid rgba(99,102,241,0.25);\n color: var(--clr-primary);\n border-radius: 2rem;\n padding: 0.3rem 1rem;\n font-size: 0.78rem;\n font-weight: 700;\n margin-bottom: 0.75rem;\n letter-spacing: 0.02em;\n}\n\n#math9ch5 .m9-header h1 {\n font-size: clamp(1.4rem, 4vw, 2rem);\n font-weight: 900;\n background: linear-gradient(135deg, var(--clr-primary), var(--clr-secondary), var(--clr-accent));\n -webkit-background-clip: text;\n -webkit-text-fill-color: transparent;\n background-clip: text;\n line-height: 1.3;\n margin-bottom: 0.5rem;\n}\n\n#math9ch5 .m9-header p {\n color: var(--clr-text-light);\n font-size: 0.9rem;\n line-height: 1.7;\n}\n\n\/* \u2500\u2500 Progress Card \u2500\u2500 *\/\n#math9ch5 .m9-progress-card {\n padding: 1.25rem 1.5rem;\n margin-bottom: 1.5rem;\n display: flex;\n align-items: center;\n gap: 1.25rem;\n flex-wrap: wrap;\n}\n\n#math9ch5 .m9-progress-ring-wrap {\n position: relative;\n width: 80px;\n height: 80px;\n flex-shrink: 0;\n}\n\n#math9ch5 .m9-progress-ring-wrap svg {\n transform: rotate(-90deg);\n}\n\n#math9ch5 .m9-ring-bg {\n fill: none;\n stroke: rgba(99,102,241,0.12);\n stroke-width: 7;\n}\n\n#math9ch5 .m9-ring-fill {\n fill: none;\n stroke: url(#ringGrad);\n stroke-width: 7;\n stroke-linecap: round;\n stroke-dasharray: 226;\n stroke-dashoffset: 226;\n transition: stroke-dashoffset 0.8s cubic-bezier(0.4,0,0.2,1);\n}\n\n#math9ch5 .m9-ring-label {\n position: absolute;\n inset: 0;\n display: flex;\n align-items: center;\n justify-content: center;\n font-size: 1rem;\n font-weight: 800;\n color: var(--clr-primary);\n}\n\n#math9ch5 .m9-progress-info {\n flex: 1;\n min-width: 140px;\n}\n\n#math9ch5 .m9-progress-info h3 {\n font-size: 0.95rem;\n font-weight: 700;\n color: var(--clr-text);\n margin-bottom: 0.35rem;\n}\n\n#math9ch5 .m9-progress-bar-wrap {\n height: 8px;\n background: rgba(99,102,241,0.10);\n border-radius: 9999px;\n overflow: hidden;\n margin-bottom: 0.35rem;\n}\n\n#math9ch5 .m9-progress-bar-fill {\n height: 100%;\n background: linear-gradient(90deg, var(--clr-primary), var(--clr-secondary));\n border-radius: 9999px;\n transition: width 0.8s cubic-bezier(0.4,0,0.2,1);\n width: 0%;\n}\n\n#math9ch5 .m9-progress-sub {\n font-size: 0.78rem;\n color: var(--clr-text-muted);\n}\n\n#math9ch5 .m9-reset-btn {\n margin-right: auto;\n padding: 0.45rem 1rem;\n border-radius: 2rem;\n border: 1.5px solid rgba(239,68,68,0.3);\n background: rgba(239,68,68,0.07);\n color: var(--clr-danger);\n font-size: 0.78rem;\n font-weight: 600;\n cursor: pointer;\n transition: all var(--transition);\n font-family: var(--font-fa);\n display: flex;\n align-items: center;\n gap: 0.3rem;\n}\n\n#math9ch5 .m9-reset-btn:hover {\n background: rgba(239,68,68,0.14);\n transform: scale(1.04);\n}\n\n\/* \u2500\u2500 Tabs \u2500\u2500 *\/\n#math9ch5 .m9-tabs {\n display: flex;\n gap: 0.5rem;\n flex-wrap: wrap;\n margin-bottom: 1.5rem;\n padding: 0.5rem;\n background: rgba(255,255,255,0.40);\n backdrop-filter: blur(10px);\n -webkit-backdrop-filter: blur(10px);\n border: 1.5px solid var(--glass-border);\n border-radius: var(--radius-lg);\n}\n\n#math9ch5 .m9-tab-btn {\n flex: 1;\n min-width: 100px;\n padding: 0.55rem 0.75rem;\n border-radius: var(--radius-md);\n border: none;\n background: transparent;\n color: var(--clr-text-light);\n font-size: 0.82rem;\n font-weight: 600;\n cursor: pointer;\n transition: all var(--transition);\n font-family: var(--font-fa);\n display: flex;\n align-items: center;\n justify-content: center;\n gap: 0.3rem;\n white-space: nowrap;\n}\n\n#math9ch5 .m9-tab-btn:hover {\n background: rgba(99,102,241,0.08);\n color: var(--clr-primary);\n}\n\n#math9ch5 .m9-tab-btn.active {\n background: linear-gradient(135deg, var(--clr-primary), var(--clr-secondary));\n color: #fff;\n box-shadow: 0 4px 14px rgba(99,102,241,0.3);\n}\n\n#math9ch5 .m9-tab-panel {\n display: none;\n}\n\n#math9ch5 .m9-tab-panel.active {\n display: block;\n animation: m9FadeIn 0.35s ease;\n}\n\n@keyframes m9FadeIn {\n from { opacity: 0; transform: translateY(8px); }\n to { opacity: 1; transform: translateY(0); }\n}\n\n\/* \u2500\u2500 Accordion \u2500\u2500 *\/\n#math9ch5 .m9-accordion {\n display: flex;\n flex-direction: column;\n gap: 0.85rem;\n}\n\n#math9ch5 .m9-acc-item {\n border-radius: var(--radius-lg);\n overflow: hidden;\n background: var(--glass-bg);\n backdrop-filter: var(--glass-blur);\n -webkit-backdrop-filter: var(--glass-blur);\n border: 1.5px solid var(--glass-border);\n box-shadow: var(--glass-shadow);\n transition: transform var(--transition), box-shadow var(--transition);\n}\n\n#math9ch5 .m9-acc-item:hover {\n transform: translateY(-2px);\n box-shadow: 0 12px 36px rgba(99,102,241,0.14), 0 2px 10px rgba(99,102,241,0.08);\n}\n\n#math9ch5 .m9-acc-header {\n display: flex;\n align-items: center;\n gap: 0.85rem;\n padding: 1rem 1.25rem;\n cursor: pointer;\n user-select: none;\n transition: background var(--transition);\n}\n\n#math9ch5 .m9-acc-header:hover {\n background: rgba(99,102,241,0.04);\n}\n\n#math9ch5 .m9-acc-icon-wrap {\n width: 40px;\n height: 40px;\n border-radius: 0.75rem;\n display: flex;\n align-items: center;\n justify-content: center;\n flex-shrink: 0;\n}\n\n#math9ch5 .m9-acc-title {\n flex: 1;\n font-size: 0.95rem;\n font-weight: 700;\n color: var(--clr-text);\n}\n\n#math9ch5 .m9-acc-learned {\n display: flex;\n align-items: center;\n gap: 0.4rem;\n font-size: 0.75rem;\n color: var(--clr-text-muted);\n margin-left: 0.5rem;\n}\n\n#math9ch5 .m9-learned-toggle {\n appearance: none;\n -webkit-appearance: none;\n width: 36px;\n height: 20px;\n background: rgba(99,102,241,0.15);\n border-radius: 9999px;\n border: 1.5px solid rgba(99,102,241,0.2);\n cursor: pointer;\n position: relative;\n transition: all var(--transition);\n}\n\n#math9ch5 .m9-learned-toggle::after {\n content: '';\n position: absolute;\n width: 14px;\n height: 14px;\n border-radius: 50%;\n background: #fff;\n box-shadow: 0 1px 4px rgba(0,0,0,0.18);\n top: 50%;\n right: 2px;\n transform: translateY(-50%);\n transition: all var(--transition);\n}\n\n#math9ch5 .m9-learned-toggle:checked {\n background: var(--clr-success);\n border-color: var(--clr-success);\n}\n\n#math9ch5 .m9-learned-toggle:checked::after {\n right: calc(100% - 16px);\n}\n\n#math9ch5 .m9-acc-arrow {\n width: 22px;\n height: 22px;\n color: var(--clr-text-muted);\n transition: transform var(--transition);\n flex-shrink: 0;\n}\n\n#math9ch5 .m9-acc-item.open .m9-acc-arrow {\n transform: rotate(90deg);\n}\n\n#math9ch5 .m9-acc-body {\n display: none;\n padding: 0 1.25rem 1.25rem;\n border-top: 1px solid rgba(99,102,241,0.08);\n}\n\n#math9ch5 .m9-acc-item.open .m9-acc-body {\n display: block;\n animation: m9FadeIn 0.28s ease;\n}\n\n\/* \u2500\u2500 Content blocks inside accordion \u2500\u2500 *\/\n#math9ch5 .m9-content-grid {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: 1rem;\n margin-top: 1rem;\n}\n\n@media (max-width: 640px) {\n #math9ch5 .m9-content-grid { grid-template-columns: 1fr; }\n}\n\n#math9ch5 .m9-formula-box {\n background: linear-gradient(135deg, rgba(99,102,241,0.08), rgba(139,92,246,0.06));\n border: 1.5px solid rgba(99,102,241,0.18);\n border-radius: var(--radius-md);\n padding: 1rem;\n margin-top: 0.75rem;\n}\n\n#math9ch5 .m9-formula-title {\n font-size: 0.72rem;\n font-weight: 700;\n color: var(--clr-primary);\n text-transform: uppercase;\n letter-spacing: 0.05em;\n margin-bottom: 0.5rem;\n}\n\n#math9ch5 .m9-formula-content {\n font-size: 1rem;\n font-weight: 700;\n color: var(--clr-text);\n text-align: center;\n direction: ltr;\n unicode-bidi: bidi-override;\n background: rgba(255,255,255,0.6);\n border-radius: var(--radius-sm);\n padding: 0.5rem 0.75rem;\n font-family: 'Courier New', monospace;\n}\n\n#math9ch5 .m9-example-box {\n background: rgba(16,185,129,0.07);\n border: 1.5px solid rgba(16,185,129,0.18);\n border-radius: var(--radius-md);\n padding: 1rem;\n margin-top: 0.75rem;\n}\n\n#math9ch5 .m9-example-title {\n font-size: 0.72rem;\n font-weight: 700;\n color: var(--clr-success);\n margin-bottom: 0.4rem;\n display: flex;\n align-items: center;\n gap: 0.3rem;\n}\n\n#math9ch5 .m9-tips-box {\n background: rgba(245,158,11,0.07);\n border: 1.5px solid rgba(245,158,11,0.2);\n border-radius: var(--radius-md);\n padding: 1rem;\n margin-top: 0.75rem;\n}\n\n#math9ch5 .m9-tips-title {\n font-size: 0.72rem;\n font-weight: 700;\n color: var(--clr-warning);\n margin-bottom: 0.5rem;\n display: flex;\n align-items: center;\n gap: 0.3rem;\n}\n\n#math9ch5 .m9-tips-list {\n list-style: none;\n display: flex;\n flex-direction: column;\n gap: 0.3rem;\n}\n\n#math9ch5 .m9-tips-list li {\n font-size: 0.82rem;\n color: var(--clr-text-light);\n padding-right: 1rem;\n position: relative;\n line-height: 1.6;\n}\n\n#math9ch5 .m9-tips-list li::before {\n content: '\u25c6';\n position: absolute;\n right: 0;\n color: var(--clr-warning);\n font-size: 0.55rem;\n top: 0.35em;\n}\n\n#math9ch5 .m9-desc {\n font-size: 0.875rem;\n color: var(--clr-text-light);\n line-height: 1.75;\n margin-top: 0.6rem;\n}\n\n\/* \u2500\u2500 SVG figure block \u2500\u2500 *\/\n#math9ch5 .m9-figure-wrap {\n background: rgba(255,255,255,0.50);\n border: 1.5px solid rgba(99,102,241,0.12);\n border-radius: var(--radius-md);\n padding: 1rem;\n margin-top: 0.75rem;\n text-align: center;\n}\n\n#math9ch5 .m9-figure-caption {\n font-size: 0.76rem;\n color: var(--clr-text-muted);\n margin-top: 0.5rem;\n line-height: 1.5;\n}\n\n#math9ch5 .m9-figure-wrap svg {\n max-width: 100%;\n height: auto;\n}\n\n\/* \u2500\u2500 Quiz \u2500\u2500 *\/\n#math9ch5 .m9-quiz-card {\n padding: 1.5rem;\n margin-bottom: 1rem;\n}\n\n#math9ch5 .m9-quiz-q {\n font-size: 0.95rem;\n font-weight: 700;\n color: var(--clr-text);\n margin-bottom: 1rem;\n line-height: 1.6;\n}\n\n#math9ch5 .m9-quiz-opts {\n display: flex;\n flex-direction: column;\n gap: 0.55rem;\n}\n\n#math9ch5 .m9-quiz-opt {\n display: flex;\n align-items: center;\n gap: 0.65rem;\n padding: 0.65rem 1rem;\n border-radius: var(--radius-md);\n border: 1.5px solid rgba(99,102,241,0.15);\n background: rgba(255,255,255,0.45);\n cursor: pointer;\n transition: all var(--transition);\n font-size: 0.85rem;\n color: var(--clr-text);\n font-family: var(--font-fa);\n text-align: right;\n}\n\n#math9ch5 .m9-quiz-opt:hover {\n border-color: var(--clr-primary);\n background: rgba(99,102,241,0.07);\n transform: translateX(-2px);\n}\n\n#math9ch5 .m9-quiz-opt.correct {\n border-color: var(--clr-success);\n background: rgba(16,185,129,0.10);\n color: var(--clr-success);\n font-weight: 700;\n}\n\n#math9ch5 .m9-quiz-opt.wrong {\n border-color: var(--clr-danger);\n background: rgba(239,68,68,0.08);\n color: var(--clr-danger);\n}\n\n#math9ch5 .m9-quiz-opt.disabled {\n pointer-events: none;\n}\n\n#math9ch5 .m9-quiz-feedback {\n margin-top: 0.75rem;\n padding: 0.65rem 1rem;\n border-radius: var(--radius-md);\n font-size: 0.83rem;\n font-weight: 600;\n display: none;\n}\n\n#math9ch5 .m9-quiz-feedback.show { display: block; }\n#math9ch5 .m9-quiz-feedback.ok {\n background: rgba(16,185,129,0.10);\n color: var(--clr-success);\n border: 1px solid rgba(16,185,129,0.2);\n}\n#math9ch5 .m9-quiz-feedback.fail {\n background: rgba(239,68,68,0.08);\n color: var(--clr-danger);\n border: 1px solid rgba(239,68,68,0.18);\n}\n\n#math9ch5 .m9-quiz-score-bar {\n display: flex;\n align-items: center;\n gap: 1rem;\n padding: 1rem 1.25rem;\n margin-bottom: 1rem;\n flex-wrap: wrap;\n}\n\n#math9ch5 .m9-score-badge {\n display: inline-flex;\n align-items: center;\n gap: 0.4rem;\n padding: 0.4rem 1rem;\n border-radius: 2rem;\n background: linear-gradient(135deg, var(--clr-primary), var(--clr-secondary));\n color: #fff;\n font-size: 0.82rem;\n font-weight: 700;\n}\n\n#math9ch5 .m9-quiz-next-btn {\n margin-top: 0.75rem;\n padding: 0.55rem 1.25rem;\n border-radius: 2rem;\n border: none;\n background: linear-gradient(135deg, var(--clr-primary), var(--clr-secondary));\n color: #fff;\n font-size: 0.85rem;\n font-weight: 700;\n cursor: pointer;\n transition: all var(--transition);\n font-family: var(--font-fa);\n display: none;\n}\n\n#math9ch5 .m9-quiz-next-btn.show { display: inline-flex; align-items: center; gap: 0.3rem; }\n#math9ch5 .m9-quiz-next-btn:hover { transform: scale(1.04); box-shadow: 0 4px 14px rgba(99,102,241,0.3); }\n\n#math9ch5 .m9-quiz-counter {\n font-size: 0.78rem;\n color: var(--clr-text-muted);\n}\n\n#math9ch5 .m9-quiz-restart-btn {\n padding: 0.55rem 1.25rem;\n border-radius: 2rem;\n border: 1.5px solid var(--clr-primary);\n background: transparent;\n color: var(--clr-primary);\n font-size: 0.85rem;\n font-weight: 700;\n cursor: pointer;\n transition: all var(--transition);\n font-family: var(--font-fa);\n margin-top: 0.75rem;\n display: inline-flex;\n align-items: center;\n gap: 0.3rem;\n}\n#math9ch5 .m9-quiz-restart-btn:hover {\n background: var(--clr-primary);\n color: #fff;\n}\n\n\/* \u2500\u2500 Calculator \u2500\u2500 *\/\n#math9ch5 .m9-calc-card {\n padding: 1.5rem;\n}\n\n#math9ch5 .m9-calc-title {\n font-size: 1rem;\n font-weight: 800;\n color: var(--clr-text);\n margin-bottom: 1rem;\n display: flex;\n align-items: center;\n gap: 0.5rem;\n}\n\n#math9ch5 .m9-calc-grid {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: 1rem;\n margin-bottom: 1rem;\n}\n\n@media (max-width: 500px) {\n #math9ch5 .m9-calc-grid { grid-template-columns: 1fr; }\n}\n\n#math9ch5 .m9-calc-group {\n display: flex;\n flex-direction: column;\n gap: 0.35rem;\n}\n\n#math9ch5 .m9-calc-label {\n font-size: 0.77rem;\n font-weight: 700;\n color: var(--clr-text-light);\n}\n\n#math9ch5 .m9-calc-input {\n padding: 0.55rem 0.85rem;\n border-radius: var(--radius-sm);\n border: 1.5px solid rgba(99,102,241,0.18);\n background: rgba(255,255,255,0.55);\n font-size: 0.9rem;\n color: var(--clr-text);\n font-family: var(--font-fa);\n transition: border-color var(--transition);\n width: 100%;\n text-align: center;\n direction: ltr;\n}\n\n#math9ch5 .m9-calc-input:focus {\n outline: none;\n border-color: var(--clr-primary);\n background: rgba(255,255,255,0.8);\n}\n\n#math9ch5 .m9-calc-select {\n padding: 0.55rem 0.85rem;\n border-radius: var(--radius-sm);\n border: 1.5px solid rgba(99,102,241,0.18);\n background: rgba(255,255,255,0.55);\n font-size: 0.85rem;\n color: var(--clr-text);\n font-family: var(--font-fa);\n cursor: pointer;\n width: 100%;\n}\n\n#math9ch5 .m9-calc-btn {\n padding: 0.6rem 1.5rem;\n border-radius: 2rem;\n border: none;\n background: linear-gradient(135deg, var(--clr-primary), var(--clr-secondary));\n color: #fff;\n font-size: 0.9rem;\n font-weight: 700;\n cursor: pointer;\n transition: all var(--transition);\n font-family: var(--font-fa);\n}\n\n#math9ch5 .m9-calc-btn:hover {\n transform: scale(1.04);\n box-shadow: 0 4px 14px rgba(99,102,241,0.3);\n}\n\n#math9ch5 .m9-calc-result {\n margin-top: 1rem;\n padding: 1rem;\n border-radius: var(--radius-md);\n background: linear-gradient(135deg, rgba(99,102,241,0.08), rgba(6,182,212,0.06));\n border: 1.5px solid rgba(99,102,241,0.15);\n font-size: 0.9rem;\n color: var(--clr-text);\n display: none;\n line-height: 1.7;\n}\n\n#math9ch5 .m9-calc-result.show { display: block; animation: m9FadeIn 0.25s ease; }\n#math9ch5 .m9-calc-result strong { color: var(--clr-primary); }\n\n\/* \u2500\u2500 Night review \u2500\u2500 *\/\n#math9ch5 .m9-night-grid {\n display: grid;\n grid-template-columns: repeat(auto-fill, minmax(220px, 1fr));\n gap: 0.85rem;\n}\n\n#math9ch5 .m9-night-card {\n padding: 1rem;\n border-radius: var(--radius-md);\n background: var(--glass-bg);\n backdrop-filter: var(--glass-blur);\n -webkit-backdrop-filter: var(--glass-blur);\n border: 1.5px solid var(--glass-border);\n box-shadow: var(--glass-shadow);\n transition: transform var(--transition), box-shadow var(--transition);\n}\n\n#math9ch5 .m9-night-card:hover {\n transform: translateY(-3px) scale(1.01);\n box-shadow: 0 10px 28px rgba(99,102,241,0.14);\n}\n\n#math9ch5 .m9-night-card-title {\n font-size: 0.82rem;\n font-weight: 800;\n color: var(--clr-primary);\n margin-bottom: 0.5rem;\n display: flex;\n align-items: center;\n gap: 0.4rem;\n}\n\n#math9ch5 .m9-night-card-formula {\n font-size: 0.85rem;\n font-weight: 700;\n color: var(--clr-text);\n direction: ltr;\n unicode-bidi: bidi-override;\n font-family: 'Courier New', monospace;\n background: rgba(99,102,241,0.07);\n border-radius: var(--radius-sm);\n padding: 0.4rem 0.65rem;\n margin-bottom: 0.4rem;\n text-align: center;\n}\n\n#math9ch5 .m9-night-card-note {\n font-size: 0.76rem;\n color: var(--clr-text-muted);\n line-height: 1.55;\n}\n\n\/* \u2500\u2500 Section heading \u2500\u2500 *\/\n#math9ch5 .m9-section-heading {\n font-size: 1.05rem;\n font-weight: 800;\n color: var(--clr-text);\n margin-bottom: 1rem;\n display: flex;\n align-items: center;\n gap: 0.5rem;\n padding-bottom: 0.5rem;\n border-bottom: 2px solid rgba(99,102,241,0.12);\n}\n\n\/* \u2500\u2500 Utility \u2500\u2500 *\/\n#math9ch5 .m9-mt { margin-top: 0.75rem; }\n#math9ch5 .m9-badge {\n display: inline-block;\n padding: 0.15rem 0.55rem;\n border-radius: 2rem;\n font-size: 0.68rem;\n font-weight: 700;\n}\n#math9ch5 .m9-badge-primary { background: rgba(99,102,241,0.12); color: var(--clr-primary); }\n#math9ch5 .m9-badge-success { background: rgba(16,185,129,0.12); color: var(--clr-success); }\n#math9ch5 .m9-badge-warning { background: rgba(245,158,11,0.12); color: var(--clr-warning); }\n\n#math9ch5 .m9-icon {\n width: 20px; height: 20px;\n display: inline-block;\n vertical-align: middle;\n}\n\n\/* Color variants for icon wraps *\/\n#math9ch5 .ic-indigo { background: rgba(99,102,241,0.12); color: var(--clr-primary); }\n#math9ch5 .ic-purple { background: rgba(139,92,246,0.12); color: var(--clr-secondary); }\n#math9ch5 .ic-cyan { background: rgba(6,182,212,0.12); color: var(--clr-accent); }\n#math9ch5 .ic-green { background: rgba(16,185,129,0.12); color: var(--clr-success); }\n#math9ch5 .ic-amber { background: rgba(245,158,11,0.12); color: var(--clr-warning); }\n#math9ch5 .ic-rose { background: rgba(239,68,68,0.12); color: var(--clr-danger); }\n\n\/* \u2500\u2500 Responsive \u2500\u2500 *\/\n@media (max-width: 768px) {\n #math9ch5 .m9-tabs { gap: 0.3rem; }\n #math9ch5 .m9-tab-btn { font-size: 0.75rem; padding: 0.45rem 0.5rem; }\n #math9ch5 .m9-progress-card { flex-direction: column; align-items: flex-start; }\n #math9ch5 .m9-reset-btn { margin-right: 0; }\n}\n<\/style>\n<\/head>\n<body style=\"background:transparent;margin:0;padding:1rem;\">\n\n<div id=\"math9ch5\">\n\n <!-- SVG Gradient Defs (hidden) -->\n <svg width=\"0\" height=\"0\" style=\"position:absolute\">\n <defs>\n <linearGradient id=\"ringGrad\" x1=\"0%\" y1=\"0%\" x2=\"100%\" y2=\"0%\">\n <stop offset=\"0%\" stop-color=\"#6366f1\"\/>\n <stop offset=\"100%\" stop-color=\"#06b6d4\"\/>\n <\/linearGradient>\n <\/defs>\n <\/svg>\n\n <!-- \u2550\u2550\u2550 HEADER \u2550\u2550\u2550 -->\n <header class=\"m9-header\">\n <div class=\"m9-header-badge\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\" stroke-linecap=\"round\"><path d=\"M12 2L2 7l10 5 10-5-10-5z\"\/><path d=\"M2 17l10 5 10-5M2 12l10 5 10-5\"\/><\/svg>\n \u0631\u06cc\u0627\u0636\u06cc \u067e\u0627\u06cc\u0647 \u0646\u0647\u0645\n <\/div>\n <h1>\u0641\u0635\u0644 \u06f5: \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/h1>\n <p>\u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639\u060c \u062a\u0645\u0631\u06cc\u0646 \u062a\u0639\u0627\u0645\u0644\u06cc \u0648 \u0645\u0631\u0648\u0631 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u2014 \u0628\u0627 \u0634\u06a9\u0644\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0648 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0645\u0641\u0647\u0648\u0645\u06cc<\/p>\n <\/header>\n\n <!-- \u2550\u2550\u2550 PROGRESS CARD \u2550\u2550\u2550 -->\n <div class=\"glass m9-progress-card\">\n <div class=\"m9-progress-ring-wrap\">\n <svg width=\"80\" height=\"80\" viewBox=\"0 0 80 80\">\n <circle class=\"m9-ring-bg\" cx=\"40\" cy=\"40\" r=\"36\"\/>\n <circle class=\"m9-ring-fill\" id=\"m9RingFill\" cx=\"40\" cy=\"40\" r=\"36\"\/>\n <\/svg>\n <div class=\"m9-ring-label\" id=\"m9RingLabel\">\u06f0\u066a<\/div>\n <\/div>\n <div class=\"m9-progress-info\">\n <h3>\u067e\u06cc\u0634\u0631\u0641\u062a \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0634\u0645\u0627<\/h3>\n <div class=\"m9-progress-bar-wrap\">\n <div class=\"m9-progress-bar-fill\" id=\"m9ProgressBar\"><\/div>\n <\/div>\n <div class=\"m9-progress-sub\" id=\"m9ProgressSub\">\u06f0 \u0627\u0632 \u06f8 \u0628\u062e\u0634 \u062a\u06a9\u0645\u06cc\u0644 \u0634\u062f\u0647<\/div>\n <\/div>\n <button class=\"m9-reset-btn\" onclick=\"m9ResetProgress()\">\n <svg width=\"13\" height=\"13\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M3 12a9 9 0 1 0 9-9 9.75 9.75 0 0 0-6.74 2.74L3 8\"\/><path d=\"M3 3v5h5\"\/><\/svg>\n \u0628\u0627\u0632\u0646\u0634\u0627\u0646\u06cc\n <\/button>\n <\/div>\n\n <!-- \u2550\u2550\u2550 TABS \u2550\u2550\u2550 -->\n <div class=\"m9-tabs\" role=\"tablist\">\n <button class=\"m9-tab-btn active\" onclick=\"m9SwitchTab('learn')\" role=\"tab\">\n <svg width=\"15\" height=\"15\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M2 3h6a4 4 0 0 1 4 4v14a3 3 0 0 0-3-3H2z\"\/><path d=\"M22 3h-6a4 4 0 0 0-4 4v14a3 3 0 0 1 3-3h7z\"\/><\/svg>\n \u0622\u0645\u0648\u0632\u0634\n <\/button>\n <button class=\"m9-tab-btn\" onclick=\"m9SwitchTab('calc')\" role=\"tab\">\n <svg width=\"15\" height=\"15\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><rect x=\"4\" y=\"2\" width=\"16\" height=\"20\" rx=\"2\"\/><line x1=\"8\" y1=\"6\" x2=\"16\" y2=\"6\"\/><line x1=\"8\" y1=\"10\" x2=\"16\" y2=\"10\"\/><line x1=\"8\" y1=\"14\" x2=\"16\" y2=\"14\"\/><line x1=\"8\" y1=\"18\" x2=\"12\" y2=\"18\"\/><\/svg>\n \u0645\u0627\u0634\u06cc\u0646\u200c\u062d\u0633\u0627\u0628\n <\/button>\n <button class=\"m9-tab-btn\" onclick=\"m9SwitchTab('quiz')\" role=\"tab\">\n <svg width=\"15\" height=\"15\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M9 11l3 3L22 4\"\/><path d=\"M21 12v7a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h11\"\/><\/svg>\n \u06a9\u0648\u06cc\u06cc\u0632\n <\/button>\n <button class=\"m9-tab-btn\" onclick=\"m9SwitchTab('night')\" role=\"tab\">\n <svg width=\"15\" height=\"15\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M21 12.79A9 9 0 1 1 11.21 3 7 7 0 0 0 21 12.79z\"\/><\/svg>\n \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646\n <\/button>\n <\/div>\n\n <!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n TAB 1: LEARN\n \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n <div id=\"m9Tab-learn\" class=\"m9-tab-panel active\">\n <div class=\"m9-accordion\" id=\"m9Accordion\">\n\n <!-- 1. \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc -->\n <div class=\"m9-acc-item\" id=\"acc-1\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-1')\">\n <div class=\"m9-acc-icon-wrap ic-indigo\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M3 3h7v7H3z\"\/><path d=\"M14 3h7v7h-7z\"\/><path d=\"M14 14h7v7h-7z\"\/><path d=\"M3 14h7v7H3z\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f1. \u0645\u0641\u0647\u0648\u0645 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"1\" onchange=\"m9ToggleLearned(1,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f\u060c \u062d\u0631\u0648\u0641 (\u0645\u062a\u063a\u06cc\u0631) \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0627\u0633\u062a. \u062d\u0631\u0648\u0641 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0646\u0627\u0634\u0646\u0627\u062e\u062a\u0647 \u06cc\u0627 \u0645\u062a\u063a\u06cc\u0631 \u0647\u0633\u062a\u0646\u062f.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u062a\u0639\u0631\u06cc\u0641<\/div>\n <div class=\"m9-formula-content\">3x\u00b2 + 2xy \u2212 5<\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\n <svg width=\"13\" height=\"13\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><circle cx=\"12\" cy=\"12\" r=\"10\"\/><path d=\"M12 8v4M12 16h.01\"\/><\/svg>\n \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647\n <\/div>\n <p style=\"font-size:.83rem;color:var(--clr-text-light);line-height:1.65;\">\u0627\u06af\u0631 x=2\u060c \u0622\u0646\u06af\u0627\u0647:<br><strong style=\"color:var(--clr-primary);direction:ltr;unicode-bidi:bidi-override;display:block;text-align:center;margin-top:.3rem;\">3(2)\u00b2 + 2(2)(3) \u2212 5 = 19<\/strong><\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\n <svg width=\"13\" height=\"13\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><polygon points=\"12 2 15.09 8.26 22 9.27 17 14.14 18.18 21.02 12 17.77 5.82 21.02 7 14.14 2 9.27 8.91 8.26 12 2\"\/><\/svg>\n \u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc\n <\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0645\u062a\u063a\u06cc\u0631 = \u062d\u0631\u0641 \u0644\u0627\u062a\u06cc\u0646 \u0645\u0627\u0646\u0646\u062f x\u060c y\u060c a<\/li>\n <li>\u0636\u0631\u06cc\u0628 \u0639\u062f\u062f \u062c\u0644\u0648\u06cc \u0645\u062a\u063a\u06cc\u0631 \u0627\u0633\u062a<\/li>\n <li>\u062c\u0645\u0644\u0647 = \u0647\u0631 \u0628\u062e\u0634 \u062c\u062f\u0627 \u0627\u0632 + \u06cc\u0627 \u2212<\/li>\n <li>\u062f\u0631\u062c\u0647 \u062c\u0645\u0644\u0647 = \u0645\u062c\u0645\u0648\u0639 \u062a\u0648\u0627\u0646\u200c\u0647\u0627\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"130\" viewBox=\"0 0 200 130\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <!-- Expression decomposition diagram -->\n <rect x=\"10\" y=\"10\" width=\"180\" height=\"40\" rx=\"8\" fill=\"rgba(99,102,241,0.08)\" stroke=\"rgba(99,102,241,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"100\" y=\"36\" text-anchor=\"middle\" font-family=\"Courier New\" font-size=\"16\" font-weight=\"700\" fill=\"#6366f1\">3x\u00b2 + 2xy \u2212 5<\/text>\n <!-- arrows down -->\n <line x1=\"40\" y1=\"50\" x2=\"35\" y2=\"75\" stroke=\"#6366f1\" stroke-width=\"1.5\" stroke-dasharray=\"3,2\"\/>\n <line x1=\"100\" y1=\"50\" x2=\"100\" y2=\"75\" stroke=\"#8b5cf6\" stroke-width=\"1.5\" stroke-dasharray=\"3,2\"\/>\n <line x1=\"160\" y1=\"50\" x2=\"165\" y2=\"75\" stroke=\"#06b6d4\" stroke-width=\"1.5\" stroke-dasharray=\"3,2\"\/>\n <!-- boxes -->\n <rect x=\"5\" y=\"76\" width=\"60\" height=\"28\" rx=\"6\" fill=\"rgba(99,102,241,0.12)\" stroke=\"rgba(99,102,241,0.3)\" stroke-width=\"1\"\/>\n <text x=\"35\" y=\"95\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Tahoma\">\u062c\u0645\u0644\u0647 \u06f1<\/text>\n <rect x=\"70\" y=\"76\" width=\"60\" height=\"28\" rx=\"6\" fill=\"rgba(139,92,246,0.12)\" stroke=\"rgba(139,92,246,0.3)\" stroke-width=\"1\"\/>\n <text x=\"100\" y=\"95\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Tahoma\">\u062c\u0645\u0644\u0647 \u06f2<\/text>\n <rect x=\"135\" y=\"76\" width=\"60\" height=\"28\" rx=\"6\" fill=\"rgba(6,182,212,0.12)\" stroke=\"rgba(6,182,212,0.3)\" stroke-width=\"1\"\/>\n <text x=\"165\" y=\"95\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#06b6d4\" font-family=\"Tahoma\">\u062c\u0645\u0644\u0647 \u06f3<\/text>\n <!-- labels -->\n <text x=\"35\" y=\"118\" text-anchor=\"middle\" font-size=\"9\" fill=\"#94a3b8\" font-family=\"Tahoma\">\u062f\u0631\u062c\u0647 \u06f2<\/text>\n <text x=\"100\" y=\"118\" text-anchor=\"middle\" font-size=\"9\" fill=\"#94a3b8\" font-family=\"Tahoma\">\u062f\u0631\u062c\u0647 \u06f2<\/text>\n <text x=\"165\" y=\"118\" text-anchor=\"middle\" font-size=\"9\" fill=\"#94a3b8\" font-family=\"Tahoma\">\u0639\u062f\u062f \u062b\u0627\u0628\u062a<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u0634\u06a9\u0644: \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u0628\u0647 \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0645\u062c\u0632\u0627 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0647\u0631 \u062c\u0645\u0644\u0647 \u062f\u0627\u0631\u0627\u06cc \u0636\u0631\u06cc\u0628\u060c \u0645\u062a\u063a\u06cc\u0631 \u0648 \u062a\u0648\u0627\u0646 \u0627\u0633\u062a.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 2. \u062c\u0645\u0639 \u0648 \u062a\u0641\u0631\u06cc\u0642 -->\n <div class=\"m9-acc-item\" id=\"acc-2\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-2')\">\n <div class=\"m9-acc-icon-wrap ic-purple\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><line x1=\"12\" y1=\"5\" x2=\"12\" y2=\"19\"\/><line x1=\"5\" y1=\"12\" x2=\"19\" y2=\"12\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f2. \u062c\u0645\u0639 \u0648 \u062a\u0641\u0631\u06cc\u0642 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"2\" onchange=\"m9ToggleLearned(2,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0641\u0642\u0637 \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u00ab\u0647\u0645\u0627\u0646\u0646\u062f\u00bb (\u0645\u0634\u0627\u0628\u0647) \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062c\u0645\u0639 \u06cc\u0627 \u062a\u0641\u0631\u06cc\u0642 \u06a9\u0631\u062f. \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u062f\u0627\u0631\u0627\u06cc <strong>\u0647\u0645\u0627\u0646 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0627 \u0647\u0645\u0627\u0646 \u062a\u0648\u0627\u0646<\/strong> \u0647\u0633\u062a\u0646\u062f.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0642\u0627\u0646\u0648\u0646 \u0627\u0635\u0644\u06cc<\/div>\n <div class=\"m9-formula-content\">ax^n \u00b1 bx^n = (a \u00b1 b)x^n<\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644<\/div>\n <p style=\"font-size:.83rem;color:var(--clr-text-light);line-height:1.7;direction:ltr;unicode-bidi:bidi-override;\">(3x\u00b2 + 2x \u2212 1) + (x\u00b2 \u2212 5x + 4)<br>= 4x\u00b2 \u2212 3x + 3<\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0641\u0642\u0637 \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0627 \u062c\u0645\u0639 \u06a9\u0646<\/li>\n <li>\u062a\u0648\u0627\u0646 \u0645\u062a\u063a\u06cc\u0631 \u062a\u063a\u06cc\u06cc\u0631 \u0646\u0645\u06cc\u200c\u06a9\u0646\u062f<\/li>\n <li>\u062f\u0631 \u062a\u0641\u0631\u06cc\u0642 \u0639\u0644\u0627\u0645\u062a \u067e\u0631\u0627\u0646\u062a\u0632 \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0628\u062f\u0647<\/li>\n <li>\u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631\u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0627 \u062c\u062f\u0627 \u0628\u0646\u0648\u06cc\u0633<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"140\" viewBox=\"0 0 200 140\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <!-- Like terms grouping visual -->\n <text x=\"100\" y=\"20\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0627 \u06af\u0631\u0648\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0646<\/text>\n <!-- Row 1 -->\n <rect x=\"5\" y=\"30\" width=\"52\" height=\"24\" rx=\"5\" fill=\"rgba(99,102,241,0.15)\" stroke=\"rgba(99,102,241,0.4)\" stroke-width=\"1.5\"\/>\n <text x=\"31\" y=\"46\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">3x\u00b2<\/text>\n <rect x=\"63\" y=\"30\" width=\"44\" height=\"24\" rx=\"5\" fill=\"rgba(139,92,246,0.12)\" stroke=\"rgba(139,92,246,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"85\" y=\"46\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">2x<\/text>\n <rect x=\"113\" y=\"30\" width=\"36\" height=\"24\" rx=\"5\" fill=\"rgba(6,182,212,0.12)\" stroke=\"rgba(6,182,212,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"131\" y=\"46\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#06b6d4\" font-family=\"Courier New\">-1<\/text>\n <!-- Row 2 -->\n <rect x=\"5\" y=\"62\" width=\"52\" height=\"24\" rx=\"5\" fill=\"rgba(99,102,241,0.15)\" stroke=\"rgba(99,102,241,0.4)\" stroke-width=\"1.5\"\/>\n <text x=\"31\" y=\"78\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">x\u00b2<\/text>\n <rect x=\"63\" y=\"62\" width=\"44\" height=\"24\" rx=\"5\" fill=\"rgba(139,92,246,0.12)\" stroke=\"rgba(139,92,246,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"85\" y=\"78\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">-5x<\/text>\n <rect x=\"113\" y=\"62\" width=\"36\" height=\"24\" rx=\"5\" fill=\"rgba(6,182,212,0.12)\" stroke=\"rgba(6,182,212,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"131\" y=\"78\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#06b6d4\" font-family=\"Courier New\">+4<\/text>\n <!-- Bracket lines -->\n <line x1=\"31\" y1=\"86\" x2=\"31\" y2=\"102\" stroke=\"#6366f1\" stroke-width=\"1.5\"\/>\n <line x1=\"85\" y1=\"86\" x2=\"85\" y2=\"102\" stroke=\"#8b5cf6\" stroke-width=\"1.5\"\/>\n <line x1=\"131\" y1=\"86\" x2=\"131\" y2=\"102\" stroke=\"#06b6d4\" stroke-width=\"1.5\"\/>\n <!-- Results -->\n <rect x=\"5\" y=\"103\" width=\"52\" height=\"24\" rx=\"5\" fill=\"rgba(99,102,241,0.22)\" stroke=\"rgba(99,102,241,0.5)\" stroke-width=\"1.5\"\/>\n <text x=\"31\" y=\"119\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">4x\u00b2<\/text>\n <rect x=\"63\" y=\"103\" width=\"44\" height=\"24\" rx=\"5\" fill=\"rgba(139,92,246,0.18)\" stroke=\"rgba(139,92,246,0.45)\" stroke-width=\"1.5\"\/>\n <text x=\"85\" y=\"119\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">-3x<\/text>\n <rect x=\"113\" y=\"103\" width=\"36\" height=\"24\" rx=\"5\" fill=\"rgba(6,182,212,0.18)\" stroke=\"rgba(6,182,212,0.45)\" stroke-width=\"1.5\"\/>\n <text x=\"131\" y=\"119\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#06b6d4\" font-family=\"Courier New\">+3<\/text>\n <!-- Plus signs -->\n <text x=\"157\" y=\"46\" font-size=\"13\" fill=\"#475569\" font-family=\"Courier New\">+<\/text>\n <text x=\"157\" y=\"78\" font-size=\"13\" fill=\"#475569\" font-family=\"Courier New\">+<\/text>\n <text x=\"157\" y=\"118\" font-size=\"13\" fill=\"#475569\" font-family=\"Courier New\">=<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0631\u0646\u06af \u0628\u0627 \u0647\u0645 \u062c\u0645\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u061b \u0631\u0646\u06af\u200c\u0647\u0627 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u0647\u0633\u062a\u0646\u062f.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 3. \u0636\u0631\u0628 -->\n <div class=\"m9-acc-item\" id=\"acc-3\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-3')\">\n <div class=\"m9-acc-icon-wrap ic-cyan\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M18 6L6 18M6 6l12 12\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f3. \u0636\u0631\u0628 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"3\" onchange=\"m9ToggleLearned(3,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u062f\u0631 \u0636\u0631\u0628 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc\u060c \u0647\u0631 \u062c\u0645\u0644\u0647 \u0627\u0632 \u0639\u0628\u0627\u0631\u062a \u0627\u0648\u0644 \u062f\u0631 \u0647\u0631 \u062c\u0645\u0644\u0647 \u0627\u0632 \u0639\u0628\u0627\u0631\u062a \u062f\u0648\u0645 \u0636\u0631\u0628 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062a\u0648\u0627\u0646\u200c\u0647\u0627 \u062c\u0645\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0642\u0627\u0646\u0648\u0646 \u062a\u0648\u0627\u0646<\/div>\n <div class=\"m9-formula-content\">x^m \u00d7 x^n = x^(m+n)<\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644 (\u0636\u0631\u0628 \u062f\u0648\u062c\u0645\u0644\u0647\u200c\u0627\u06cc\u200c\u0647\u0627)<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.7;direction:ltr;unicode-bidi:bidi-override;\">(2x + 3)(x \u2212 1)<br>= 2x\u00b2 \u2212 2x + 3x \u2212 3<br>= 2x\u00b2 + x \u2212 3<\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0647\u0631 \u062c\u0645\u0644\u0647 \u0631\u0627 \u062f\u0631 \u0647\u0631 \u062c\u0645\u0644\u0647 \u062f\u06cc\u06af\u0631 \u0636\u0631\u0628 \u06a9\u0646<\/li>\n <li>\u062a\u0648\u0627\u0646\u200c\u0647\u0627 \u062c\u0645\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f<\/li>\n <li>\u0636\u0631\u0627\u06cc\u0628 \u062f\u0631 \u0647\u0645 \u0636\u0631\u0628 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f<\/li>\n <li>\u0639\u0644\u0627\u0645\u062a\u200c\u0647\u0627 \u0631\u0627 \u062f\u0642\u06cc\u0642 \u06a9\u0646\u062a\u0631\u0644 \u06a9\u0646<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"145\" viewBox=\"0 0 200 145\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <!-- FOIL diagram -->\n <text x=\"100\" y=\"16\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u0631\u0648\u0634 FOIL \u0636\u0631\u0628 \u062f\u0648\u062c\u0645\u0644\u0647\u200c\u0627\u06cc\u200c\u0647\u0627<\/text>\n <!-- (2x+3)(x-1) -->\n <text x=\"15\" y=\"42\" font-size=\"14\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">(2x+3)<\/text>\n <text x=\"90\" y=\"42\" font-size=\"14\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">(x\u22121)<\/text>\n <!-- Curved arrows for FOIL -->\n <!-- First -->\n <path d=\"M30 48 Q50 70 75 48\" fill=\"none\" stroke=\"#6366f1\" stroke-width=\"1.5\" stroke-dasharray=\"4,2\"\/>\n <text x=\"46\" y=\"78\" text-anchor=\"middle\" font-size=\"9\" fill=\"#6366f1\" font-family=\"Tahoma\">\u0627\u0648\u0644\u00d7\u0627\u0648\u0644<\/text>\n <text x=\"46\" y=\"90\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">2x\u00b2<\/text>\n <!-- Outer -->\n <path d=\"M40 48 Q80 90 148 48\" fill=\"none\" stroke=\"#10b981\" stroke-width=\"1.5\" stroke-dasharray=\"4,2\"\/>\n <text x=\"100\" y=\"78\" text-anchor=\"middle\" font-size=\"9\" fill=\"#10b981\" font-family=\"Tahoma\">\u0627\u0648\u0644\u00d7\u0622\u062e\u0631<\/text>\n <text x=\"100\" y=\"90\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#10b981\" font-family=\"Courier New\">\u22122x<\/text>\n <!-- Inner -->\n <path d=\"M65\" fill=\"none\"\/>\n <text x=\"46\" y=\"115\" text-anchor=\"middle\" font-size=\"9\" fill=\"#f59e0b\" font-family=\"Tahoma\">\u0622\u062e\u0631\u00d7\u0627\u0648\u0644<\/text>\n <text x=\"46\" y=\"127\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#f59e0b\" font-family=\"Courier New\">+3x<\/text>\n <!-- Last -->\n <text x=\"100\" y=\"115\" text-anchor=\"middle\" font-size=\"9\" fill=\"#ef4444\" font-family=\"Tahoma\">\u0622\u062e\u0631\u00d7\u0622\u062e\u0631<\/text>\n <text x=\"100\" y=\"127\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#ef4444\" font-family=\"Courier New\">\u22123<\/text>\n <!-- Result -->\n <text x=\"160\" y=\"105\" font-size=\"9\" fill=\"#475569\" font-family=\"Tahoma\">\u0646\u062a\u06cc\u062c\u0647:<\/text>\n <text x=\"155\" y=\"120\" font-size=\"9\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">2x\u00b2+x\u22123<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u0631\u0648\u0634 FOIL: \u0686\u0647\u0627\u0631 \u0636\u0631\u0628 \u0644\u0627\u0632\u0645 \u062f\u0631 \u0636\u0631\u0628 \u062f\u0648 \u062f\u0648\u062c\u0645\u0644\u0647\u200c\u0627\u06cc \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 4. \u062a\u0648\u0627\u0646 -->\n <div class=\"m9-acc-item\" id=\"acc-4\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-4')\">\n <div class=\"m9-acc-icon-wrap ic-green\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M13 2L3 14h9l-1 8 10-12h-9l1-8z\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f4. \u062a\u0648\u0627\u0646 \u062f\u0631 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"4\" onchange=\"m9ToggleLearned(4,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0642\u0648\u0627\u0646\u06cc\u0646 \u062a\u0648\u0627\u0646 \u062f\u0631 \u062c\u0628\u0631 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u062a\u0627 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0631\u0627 \u0633\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645. \u0627\u06cc\u0646 \u0642\u0648\u0627\u0646\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0648 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u06cc\u06a9\u0633\u0627\u0646 \u0627\u0633\u062a.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0642\u0648\u0627\u0646\u06cc\u0646 \u062a\u0648\u0627\u0646<\/div>\n <div class=\"m9-formula-content\" style=\"font-size:.85rem;text-align:right;direction:ltr;\">\n x\u1d50 \u00d7 x\u207f = x\u1d50\u207a\u207f<br>\n x\u1d50 \u00f7 x\u207f = x\u1d50\u207b\u207f<br>\n (x\u1d50)\u207f = x\u1d50\u02e3\u207f<br>\n (xy)\u207f = x\u207fy\u207f\n <\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644\u200c\u0647\u0627<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.8;direction:ltr;unicode-bidi:bidi-override;\">x\u00b3 \u00d7 x\u00b2 = x\u2075<br>x\u2076 \u00f7 x\u00b2 = x\u2074<br>(x\u00b2)\u00b3 = x\u2076<br>(2x)\u00b3 = 8x\u00b3<\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0636\u0631\u0628 = \u062c\u0645\u0639 \u062a\u0648\u0627\u0646\u200c\u0647\u0627<\/li>\n <li>\u062a\u0642\u0633\u06cc\u0645 = \u062a\u0641\u0631\u06cc\u0642 \u062a\u0648\u0627\u0646\u200c\u0647\u0627<\/li>\n <li>\u062a\u0648\u0627\u0646 \u0627\u0632 \u062a\u0648\u0627\u0646 = \u0636\u0631\u0628 \u062a\u0648\u0627\u0646\u200c\u0647\u0627<\/li>\n <li>x\u2070 = 1 \u0628\u0631\u0627\u06cc \u0647\u0631 x\u22600<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"145\" viewBox=\"0 0 200 145\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <text x=\"100\" y=\"16\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u0642\u0627\u0646\u0648\u0646 \u0636\u0631\u0628 \u062a\u0648\u0627\u0646\u200c\u0647\u0627: x\u00b3 \u00d7 x\u00b2 = x\u2075<\/text>\n <!-- x^3 block -->\n <rect x=\"5\" y=\"28\" width=\"68\" height=\"32\" rx=\"7\" fill=\"rgba(99,102,241,0.12)\" stroke=\"rgba(99,102,241,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"39\" y=\"49\" text-anchor=\"middle\" font-size=\"15\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">x\u00b3<\/text>\n <!-- dots showing x*x*x -->\n <text x=\"10\" y=\"78\" font-size=\"9\" fill=\"#6366f1\" font-family=\"Courier New\">x\u00b7x\u00b7x<\/text>\n <!-- multiply sign -->\n <text x=\"77\" y=\"49\" text-anchor=\"middle\" font-size=\"18\" fill=\"#475569\" font-family=\"Courier New\">\u00d7<\/text>\n <!-- x^2 block -->\n <rect x=\"88\" y=\"28\" width=\"60\" height=\"32\" rx=\"7\" fill=\"rgba(139,92,246,0.12)\" stroke=\"rgba(139,92,246,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"118\" y=\"49\" text-anchor=\"middle\" font-size=\"15\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">x\u00b2<\/text>\n <text x=\"93\" y=\"78\" font-size=\"9\" fill=\"#8b5cf6\" font-family=\"Courier New\">x\u00b7x<\/text>\n <!-- equals -->\n <text x=\"153\" y=\"49\" text-anchor=\"middle\" font-size=\"18\" fill=\"#475569\" font-family=\"Courier New\">=<\/text>\n <!-- result x^5 -->\n <rect x=\"162\" y=\"28\" width=\"35\" height=\"32\" rx=\"7\" fill=\"rgba(16,185,129,0.15)\" stroke=\"rgba(16,185,129,0.4)\" stroke-width=\"1.5\"\/>\n <text x=\"179\" y=\"49\" text-anchor=\"middle\" font-size=\"15\" font-weight=\"700\" fill=\"#10b981\" font-family=\"Courier New\">x\u2075<\/text>\n <!-- 5 dots -->\n <text x=\"50\" y=\"100\" text-anchor=\"middle\" font-size=\"9\" fill=\"#475569\" font-family=\"Tahoma\">\u06f3 \u0639\u0627\u0645\u0644<\/text>\n <text x=\"118\" y=\"100\" text-anchor=\"middle\" font-size=\"9\" fill=\"#475569\" font-family=\"Tahoma\">\u06f2 \u0639\u0627\u0645\u0644<\/text>\n <text x=\"179\" y=\"100\" text-anchor=\"middle\" font-size=\"9\" fill=\"#10b981\" font-family=\"Tahoma\">\u06f5 \u0639\u0627\u0645\u0644<\/text>\n <!-- dots -->\n <circle cx=\"30\" cy=\"115\" r=\"4\" fill=\"rgba(99,102,241,0.5)\"\/>\n <circle cx=\"42\" cy=\"115\" r=\"4\" fill=\"rgba(99,102,241,0.5)\"\/>\n <circle cx=\"54\" cy=\"115\" r=\"4\" fill=\"rgba(99,102,241,0.5)\"\/>\n <circle cx=\"96\" cy=\"115\" r=\"4\" fill=\"rgba(139,92,246,0.5)\"\/>\n <circle cx=\"108\" cy=\"115\" r=\"4\" fill=\"rgba(139,92,246,0.5)\"\/>\n <text x=\"143\" y=\"120\" font-size=\"12\" fill=\"#475569\" font-family=\"Courier New\">=<\/text>\n <circle cx=\"165\" cy=\"115\" r=\"4\" fill=\"rgba(16,185,129,0.6)\"\/>\n <circle cx=\"177\" cy=\"115\" r=\"4\" fill=\"rgba(16,185,129,0.6)\"\/>\n <circle cx=\"189\" cy=\"115\" r=\"4\" fill=\"rgba(16,185,129,0.6)\"\/>\n <circle cx=\"165\" cy=\"130\" r=\"4\" fill=\"rgba(16,185,129,0.6)\"\/>\n <circle cx=\"177\" cy=\"130\" r=\"4\" fill=\"rgba(16,185,129,0.6)\"\/>\n <text x=\"100\" y=\"135\" text-anchor=\"middle\" font-size=\"9\" fill=\"#94a3b8\" font-family=\"Tahoma\">\u062a\u0648\u0627\u0646\u200c\u0647\u0627 \u062c\u0645\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f: \u06f3+\u06f2=\u06f5<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u062f\u0627\u06cc\u0631\u0647\u200c\u0647\u0627 \u0639\u0627\u0645\u0644\u200c\u0647\u0627\u06cc x \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f. \u06f3 \u0639\u0627\u0645\u0644 \u00d7 \u06f2 \u0639\u0627\u0645\u0644 = \u06f5 \u0639\u0627\u0645\u0644\u060c \u067e\u0633 x\u00b3 \u00d7 x\u00b2 = x\u2075<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 5. \u0627\u062a\u062d\u0627\u062f\u0647\u0627 -->\n <div class=\"m9-acc-item\" id=\"acc-5\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-5')\">\n <div class=\"m9-acc-icon-wrap ic-amber\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><polygon points=\"12 2 22 8.5 22 15.5 12 22 2 15.5 2 8.5 12 2\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f5. \u0627\u062a\u062d\u0627\u062f\u0647\u0627\u06cc \u0645\u0647\u0645 \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"5\" onchange=\"m9ToggleLearned(5,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0627\u062a\u062d\u0627\u062f\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0641\u0631\u0645\u0648\u0644\u200c\u0647\u0627\u06cc\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u0633\u0631\u06cc\u0639 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062e\u0627\u0635 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u062d\u0641\u0638 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0627\u0645\u062a\u062d\u0627\u0646 \u0628\u0633\u06cc\u0627\u0631 \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0627\u062a\u062d\u0627\u062f\u0647\u0627\u06cc \u0627\u0635\u0644\u06cc<\/div>\n <div class=\"m9-formula-content\" style=\"font-size:.82rem;text-align:right;direction:ltr;line-height:1.9;\">\n (a+b)\u00b2 = a\u00b2+2ab+b\u00b2<br>\n (a\u2212b)\u00b2 = a\u00b2\u22122ab+b\u00b2<br>\n (a+b)(a\u2212b) = a\u00b2\u2212b\u00b2<br>\n (a+b)\u00b3 = a\u00b3+3a\u00b2b+3ab\u00b2+b\u00b3\n <\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644\u200c\u0647\u0627<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.8;direction:ltr;unicode-bidi:bidi-override;\">(x+3)\u00b2 = x\u00b2+6x+9<br>(2x\u22121)\u00b2 = 4x\u00b2\u22124x+1<br>(x+4)(x\u22124) = x\u00b2\u221216<\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0645\u0631\u0628\u0639 \u062f\u0648\u062c\u0645\u0644\u0647\u200c\u0627\u06cc: \u0633\u0647 \u062c\u0645\u0644\u0647 \u0646\u062a\u06cc\u062c\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f<\/li>\n <li>\u0627\u062a\u062d\u0627\u062f \u0645\u0632\u062f\u0648\u062c: \u0641\u0642\u0637 \u062a\u0641\u0627\u0636\u0644 \u0645\u0631\u0628\u0639\u0627\u062a<\/li>\n <li>\u062c\u0645\u0644\u0647 \u0645\u06cc\u0627\u0646\u06cc: \u062f\u0648\u0628\u0631\u0627\u0628\u0631 \u062d\u0627\u0635\u0644\u200c\u0636\u0631\u0628<\/li>\n <li>\u0627\u062a\u062d\u0627\u062f \u0633\u0648\u0645: \u0645\u0631\u0628\u0639 + \u0645\u0631\u0628\u0639 \u0646\u06cc\u0633\u062a!<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"150\" viewBox=\"0 0 200 150\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <!-- Visual proof of (a+b)\u00b2 = a\u00b2+2ab+b\u00b2 using square area -->\n <text x=\"100\" y=\"14\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u0627\u062b\u0628\u0627\u062a \u062a\u0635\u0648\u06cc\u0631\u06cc: (a+b)\u00b2 = a\u00b2+2ab+b\u00b2<\/text>\n <!-- Outer square (a+b)\u00d7(a+b) -->\n <rect x=\"20\" y=\"22\" width=\"160\" height=\"118\" rx=\"4\" fill=\"none\" stroke=\"#94a3b8\" stroke-width=\"1.5\" stroke-dasharray=\"4,2\"\/>\n <!-- a portion width=100, height=80 -->\n <!-- b portion width=60, height=38 -->\n <!-- a\u00b2 top-left -->\n <rect x=\"20\" y=\"22\" width=\"108\" height=\"80\" rx=\"3\" fill=\"rgba(99,102,241,0.18)\" stroke=\"rgba(99,102,241,0.5)\" stroke-width=\"1.5\"\/>\n <text x=\"74\" y=\"66\" text-anchor=\"middle\" font-size=\"14\" font-weight=\"800\" fill=\"#6366f1\" font-family=\"Courier New\">a\u00b2<\/text>\n <!-- ab top-right -->\n <rect x=\"130\" y=\"22\" width=\"50\" height=\"80\" rx=\"3\" fill=\"rgba(245,158,11,0.18)\" stroke=\"rgba(245,158,11,0.5)\" stroke-width=\"1.5\"\/>\n <text x=\"155\" y=\"66\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#f59e0b\" font-family=\"Courier New\">ab<\/text>\n <!-- ab bottom-left -->\n <rect x=\"20\" y=\"104\" width=\"108\" height=\"36\" rx=\"3\" fill=\"rgba(245,158,11,0.18)\" stroke=\"rgba(245,158,11,0.5)\" stroke-width=\"1.5\"\/>\n <text x=\"74\" y=\"127\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#f59e0b\" font-family=\"Courier New\">ab<\/text>\n <!-- b\u00b2 bottom-right -->\n <rect x=\"130\" y=\"104\" width=\"50\" height=\"36\" rx=\"3\" fill=\"rgba(16,185,129,0.18)\" stroke=\"rgba(16,185,129,0.5)\" stroke-width=\"1.5\"\/>\n <text x=\"155\" y=\"127\" text-anchor=\"middle\" font-size=\"12\" font-weight=\"700\" fill=\"#10b981\" font-family=\"Courier New\">b\u00b2<\/text>\n <!-- Labels -->\n <text x=\"74\" y=\"18\" text-anchor=\"middle\" font-size=\"9\" fill=\"#6366f1\" font-family=\"Tahoma\">\u2190 a \u2192<\/text>\n <text x=\"155\" y=\"18\" text-anchor=\"middle\" font-size=\"9\" fill=\"#10b981\" font-family=\"Tahoma\">\u2190b\u2192<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u0645\u0631\u0628\u0639 \u0628\u0632\u0631\u06af \u0628\u0627 \u0636\u0644\u0639 (a+b) \u0628\u0647 \u06f4 \u0642\u0637\u0639\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f: a\u00b2\u060c b\u00b2 \u0648 \u062f\u0648 \u0645\u0633\u062a\u0637\u06cc\u0644 ab.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 6. \u062a\u062c\u0632\u06cc\u0647 -->\n <div class=\"m9-acc-item\" id=\"acc-6\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-6')\">\n <div class=\"m9-acc-icon-wrap ic-rose\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M12 2v20M2 12h20\"\/><circle cx=\"12\" cy=\"12\" r=\"3\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f6. \u062a\u062c\u0632\u06cc\u0647 \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"6\" onchange=\"m9ToggleLearned(6,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u062a\u062c\u0632\u06cc\u0647 \u06cc\u0639\u0646\u06cc \u0646\u0648\u0634\u062a\u0646 \u06cc\u06a9 \u0639\u0628\u0627\u0631\u062a \u0628\u0647\u200c\u0635\u0648\u0631\u062a \u0636\u0631\u0628 \u0686\u0646\u062f \u0639\u0627\u0645\u0644. \u0639\u06a9\u0633 \u0639\u0645\u0644 \u0636\u0631\u0628 \u0627\u0633\u062a \u0648 \u06a9\u0644\u06cc\u062f \u0633\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u06a9\u0633\u0631\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0627\u0633\u062a.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u062c\u0632\u06cc\u0647<\/div>\n <div class=\"m9-formula-content\" style=\"font-size:.8rem;text-align:right;direction:ltr;line-height:1.9;\">\n \u06f1. \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9: ax+ay = a(x+y)<br>\n \u06f2. \u0627\u062a\u062d\u0627\u062f: a\u00b2\u2212b\u00b2 = (a+b)(a\u2212b)<br>\n \u06f3. \u0645\u0631\u0628\u0639 \u06a9\u0627\u0645\u0644: a\u00b2+2ab+b\u00b2 = (a+b)\u00b2<br>\n \u06f4. \u06af\u0631\u0648\u0647\u200c\u0628\u0646\u062f\u06cc\n <\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644\u200c\u0647\u0627<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.8;direction:ltr;unicode-bidi:bidi-override;\">6x\u00b2+9x = 3x(2x+3)<br>x\u00b2\u22129 = (x+3)(x\u22123)<br>x\u00b2+6x+9 = (x+3)\u00b2<\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0627\u0628\u062a\u062f\u0627 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 \u0628\u06af\u06cc\u0631<\/li>\n <li>\u062a\u0641\u0627\u0636\u0644 \u0645\u0631\u0628\u0639\u0627\u062a \u0631\u0627 \u0633\u0631\u06cc\u0639 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u06a9\u0646<\/li>\n <li>\u0645\u0631\u0628\u0639 \u06a9\u0627\u0645\u0644: \u062c\u0645\u0644\u0647 \u0645\u06cc\u0627\u0646\u06cc \u062d\u062a\u0645\u0627\u064b 2ab \u0628\u0627\u0634\u062f<\/li>\n <li>\u062c\u0648\u0627\u0628 \u0631\u0627 \u0628\u0627 \u0636\u0631\u0628 \u0686\u06a9 \u06a9\u0646<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"145\" viewBox=\"0 0 200 145\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <text x=\"100\" y=\"14\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u062a\u062c\u0632\u06cc\u0647 \u0628\u0627 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9<\/text>\n <!-- Expression 6x\u00b2+9x -->\n <rect x=\"20\" y=\"22\" width=\"160\" height=\"28\" rx=\"6\" fill=\"rgba(239,68,68,0.08)\" stroke=\"rgba(239,68,68,0.3)\" stroke-width=\"1.5\"\/>\n <text x=\"100\" y=\"41\" text-anchor=\"middle\" font-size=\"13\" font-weight=\"700\" fill=\"#ef4444\" font-family=\"Courier New\">6x\u00b2 + 9x<\/text>\n <!-- down arrow -->\n <line x1=\"100\" y1=\"50\" x2=\"100\" y2=\"64\" stroke=\"#94a3b8\" stroke-width=\"1.5\"\/>\n <polygon points=\"96,64 104,64 100,70\" fill=\"#94a3b8\"\/>\n <!-- Step: find GCD -->\n <rect x=\"20\" y=\"72\" width=\"160\" height=\"24\" rx=\"5\" fill=\"rgba(245,158,11,0.1)\" stroke=\"rgba(245,158,11,0.3)\" stroke-width=\"1\"\/>\n <text x=\"100\" y=\"88\" text-anchor=\"middle\" font-size=\"10\" fill=\"#f59e0b\" font-family=\"Tahoma\">\u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9: \u06f3x<\/text>\n <!-- down arrow -->\n <line x1=\"100\" y1=\"96\" x2=\"100\" y2=\"108\" stroke=\"#94a3b8\" stroke-width=\"1.5\"\/>\n <polygon points=\"96,108 104,108 100,114\" fill=\"#94a3b8\"\/>\n <!-- Result -->\n <rect x=\"30\" y=\"115\" width=\"140\" height=\"28\" rx=\"6\" fill=\"rgba(16,185,129,0.12)\" stroke=\"rgba(16,185,129,0.4)\" stroke-width=\"1.5\"\/>\n <text x=\"100\" y=\"133\" text-anchor=\"middle\" font-size=\"13\" font-weight=\"700\" fill=\"#10b981\" font-family=\"Courier New\">3x(2x + 3)<\/text>\n <!-- Check mark -->\n <text x=\"183\" y=\"133\" font-size=\"14\" fill=\"#10b981\">\u2713<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u0645\u0631\u0627\u062d\u0644 \u062a\u062c\u0632\u06cc\u0647 \u0628\u0627 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9: \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0628\u0632\u0631\u06af\u200c\u062a\u0631\u06cc\u0646 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 \u0645\u0634\u062a\u0631\u06a9 \u0648 \u0628\u06cc\u0631\u0648\u0646 \u0622\u0648\u0631\u062f\u0646 \u0622\u0646.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 7. \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627 -->\n <div class=\"m9-acc-item\" id=\"acc-7\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-7')\">\n <div class=\"m9-acc-icon-wrap ic-indigo\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><path d=\"M12 20h9M16.5 3.5a2.121 2.121 0 0 1 3 3L7 19l-4 1 1-4L16.5 3.5z\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f7. \u06a9\u0627\u0631\u0628\u0631\u062f \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"7\" onchange=\"m9ToggleLearned(7,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0628\u0631\u0627\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0645\u0633\u0627\u0626\u0644 \u0648\u0627\u0642\u0639\u06cc \u0645\u0627\u0646\u0646\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0633\u0627\u062d\u062a\u060c \u062d\u062c\u0645\u060c \u0633\u0631\u0639\u062a \u0648 \u0645\u0633\u0627\u0626\u0644 \u0639\u062f\u062f\u06cc \u0628\u0647\u200c\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u0646\u062f.<\/p>\n\n <div class=\"m9-formula-box\">\n <div class=\"m9-formula-title\">\ud83d\udcd0 \u0645\u062b\u0627\u0644 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc<\/div>\n <div class=\"m9-formula-content\" style=\"font-size:.85rem;text-align:right;direction:ltr;\">\u0645\u0633\u0627\u062d\u062a \u0645\u0633\u062a\u0637\u06cc\u0644 \u0628\u0627 \u0636\u0644\u0639\u200c\u0647\u0627\u06cc (x+2) \u0648 (x+5):<br>A = (x+2)(x+5) = x\u00b2+7x+10<\/div>\n <\/div>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u0633\u0626\u0644\u0647 \u0639\u062f\u062f\u06cc<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.7;\">\u0627\u06af\u0631 \u0639\u062f\u062f\u06cc \u0631\u0627 n \u0628\u0646\u0627\u0645\u06cc\u0645\u060c \u0639\u062f\u062f \u0628\u0639\u062f\u06cc n+1 \u0627\u0633\u062a. \u062d\u0627\u0635\u0644\u200c\u0636\u0631\u0628 \u0622\u0646\u200c\u0647\u0627:<br><span style=\"direction:ltr;display:block;text-align:center;font-weight:700;color:var(--clr-primary);\">n(n+1) = n\u00b2+n<\/span><\/p>\n <\/div>\n <div class=\"m9-tips-box m9-mt\">\n <div class=\"m9-tips-title\">\u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u0645\u062a\u063a\u06cc\u0631 \u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u06a9\u0646: \u0641\u0631\u0636 \u06a9\u0646 x=\u2026<\/li>\n <li>\u0639\u0628\u0627\u0631\u062a \u0631\u0627 \u0628\u0646\u0648\u06cc\u0633 \u0648 \u0633\u0627\u062f\u0647 \u06a9\u0646<\/li>\n <li>\u062c\u0648\u0627\u0628 \u0631\u0627 \u062f\u0631 \u0645\u0633\u0626\u0644\u0647 \u0686\u06a9 \u06a9\u0646<\/li>\n <li>\u0648\u0627\u062d\u062f\u0647\u0627 \u0631\u0627 \u0641\u0631\u0627\u0645\u0648\u0634 \u0646\u06a9\u0646<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-figure-wrap\">\n <svg width=\"200\" height=\"145\" viewBox=\"0 0 200 145\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <text x=\"100\" y=\"14\" text-anchor=\"middle\" font-size=\"10\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u0645\u0633\u0627\u062d\u062a \u0645\u0633\u062a\u0637\u06cc\u0644 \u062c\u0628\u0631\u06cc<\/text>\n <!-- Rectangle -->\n <rect x=\"25\" y=\"25\" width=\"150\" height=\"90\" rx=\"5\" fill=\"rgba(99,102,241,0.10)\" stroke=\"rgba(99,102,241,0.45)\" stroke-width=\"2\"\/>\n <!-- Width label top -->\n <text x=\"100\" y=\"22\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Courier New\">x + 5<\/text>\n <!-- Height label right -->\n <text x=\"15\" y=\"74\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\" transform=\"rotate(-90,15,74)\">x + 2<\/text>\n <!-- Area label center -->\n <text x=\"100\" y=\"65\" text-anchor=\"middle\" font-size=\"13\" font-weight=\"800\" fill=\"#6366f1\" font-family=\"Courier New\">A =<\/text>\n <text x=\"100\" y=\"82\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Courier New\">x\u00b2+7x+10<\/text>\n <!-- dimension arrows -->\n <line x1=\"28\" y1=\"122\" x2=\"172\" y2=\"122\" stroke=\"#94a3b8\" stroke-width=\"1\"\/>\n <polygon points=\"28,120 28,124 22,122\" fill=\"#94a3b8\"\/>\n <polygon points=\"172,120 172,124 178,122\" fill=\"#94a3b8\"\/>\n <text x=\"100\" y=\"135\" text-anchor=\"middle\" font-size=\"9\" fill=\"#94a3b8\" font-family=\"Tahoma\">\u0637\u0648\u0644 = x+5<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u0645\u0633\u062a\u0637\u06cc\u0644\u06cc \u0628\u0627 \u0636\u0644\u0639\u200c\u0647\u0627\u06cc (x+2) \u0648 (x+5)\u061b \u0636\u0631\u0628 \u0622\u0646\u200c\u0647\u0627 \u0645\u0633\u0627\u062d\u062a \u06a9\u0644\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- 8. \u0645\u0631\u0648\u0631 \u0648 \u0646\u06a9\u0627\u062a \u0627\u0645\u062a\u062d\u0627\u0646\u06cc -->\n <div class=\"m9-acc-item\" id=\"acc-8\">\n <div class=\"m9-acc-header\" onclick=\"m9ToggleAcc('acc-8')\">\n <div class=\"m9-acc-icon-wrap ic-purple\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.2\"><circle cx=\"12\" cy=\"12\" r=\"10\"\/><path d=\"M12 6v6l4 2\"\/><\/svg>\n <\/div>\n <span class=\"m9-acc-title\">\u06f8. \u0646\u06a9\u0627\u062a \u06a9\u0644\u06cc\u062f\u06cc \u0627\u0645\u062a\u062d\u0627\u0646<\/span>\n <div class=\"m9-acc-learned\">\n <span>\u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645<\/span>\n <input type=\"checkbox\" class=\"m9-learned-toggle\" data-id=\"8\" onchange=\"m9ToggleLearned(8,this.checked)\">\n <\/div>\n <svg class=\"m9-acc-arrow\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/div>\n <div class=\"m9-acc-body\">\n <p class=\"m9-desc\">\u0627\u06cc\u0646 \u0628\u062e\u0634 \u0645\u0647\u0645\u200c\u062a\u0631\u06cc\u0646 \u0646\u06a9\u0627\u062a\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u067e\u0627\u06cc\u0647 \u0646\u0647\u0645 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0627\u0634\u062a\u0628\u0627\u0647 \u0631\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n <div class=\"m9-content-grid\">\n <div>\n <div class=\"m9-tips-box\">\n <div class=\"m9-tips-title\">\u0627\u0634\u062a\u0628\u0627\u0647\u0627\u062a \u0631\u0627\u06cc\u062c<\/div>\n <ul class=\"m9-tips-list\">\n <li>\u200d(a+b)\u00b2 \u2260 a\u00b2+b\u00b2 \u0627\u0634\u062a\u0628\u0627\u0647 \u0631\u0627\u06cc\u062c!<\/li>\n <li>x\u2070 = \u06f1 \u0646\u0647 \u0635\u0641\u0631<\/li>\n <li>\u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 \u0631\u0627 \u062d\u0630\u0641 \u0646\u06a9\u0646<\/li>\n <li>\u0639\u0644\u0627\u0645\u062a \u0645\u0646\u0641\u06cc \u062f\u0631 \u067e\u0631\u0627\u0646\u062a\u0632 \u0645\u0647\u0645 \u0627\u0633\u062a<\/li>\n <li>\u062a\u062c\u0632\u06cc\u0647 \u06a9\u0627\u0645\u0644 \u062a\u0627 \u0627\u0646\u062a\u0647\u0627 \u0627\u062f\u0627\u0645\u0647 \u062f\u0647\u062f<\/li>\n <li>\u062f\u0631\u062c\u0647 \u0639\u0628\u0627\u0631\u062a = \u0628\u0627\u0644\u0627\u062a\u0631\u06cc\u0646 \u062a\u0648\u0627\u0646<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div>\n <div class=\"m9-example-box\">\n <div class=\"m9-example-title\">\u0645\u062b\u0627\u0644 \u0627\u0645\u062a\u062d\u0627\u0646\u06cc \u0645\u0647\u0645<\/div>\n <p style=\"font-size:.82rem;color:var(--clr-text-light);line-height:1.8;direction:ltr;unicode-bidi:bidi-override;\">\u062a\u062c\u0632\u06cc\u0647 \u06a9\u0627\u0645\u0644: 2x\u00b3\u22128x<br>= 2x(x\u00b2\u22124)<br>= 2x(x+2)(x\u22122) \u2713<br><br>\u0627\u0634\u062a\u0628\u0627\u0647: 2x(x\u00b2\u22124) \u2717<br>(\u0628\u0627\u06cc\u062f \u062a\u0627 \u0622\u062e\u0631 \u062a\u062c\u0632\u06cc\u0647 \u0634\u0648\u062f!)<\/p>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"m9-figure-wrap m9-mt\">\n <svg width=\"100%\" height=\"80\" viewBox=\"0 0 400 80\" preserveAspectRatio=\"xMidYMid meet\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n <text x=\"200\" y=\"18\" text-anchor=\"middle\" font-size=\"11\" font-weight=\"700\" fill=\"#475569\" font-family=\"Tahoma\">\u0645\u0631\u0627\u062d\u0644 \u062d\u0644 \u06cc\u06a9 \u0645\u0633\u0626\u0644\u0647 \u062c\u0628\u0631\u06cc<\/text>\n <!-- Steps flow -->\n <rect x=\"5\" y=\"28\" width=\"72\" height=\"32\" rx=\"6\" fill=\"rgba(99,102,241,0.12)\" stroke=\"rgba(99,102,241,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"41\" y=\"48\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#6366f1\" font-family=\"Tahoma\">\u0633\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc<\/text>\n <polygon points=\"78,44 85,40 85,48\" fill=\"#94a3b8\"\/>\n <rect x=\"86\" y=\"28\" width=\"72\" height=\"32\" rx=\"6\" fill=\"rgba(139,92,246,0.12)\" stroke=\"rgba(139,92,246,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"122\" y=\"48\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#8b5cf6\" font-family=\"Tahoma\">\u0641\u0627\u06a9\u062a\u0648\u0631\u06af\u06cc\u0631\u06cc<\/text>\n <polygon points=\"159,44 166,40 166,48\" fill=\"#94a3b8\"\/>\n <rect x=\"167\" y=\"28\" width=\"72\" height=\"32\" rx=\"6\" fill=\"rgba(6,182,212,0.12)\" stroke=\"rgba(6,182,212,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"203\" y=\"48\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#06b6d4\" font-family=\"Tahoma\">\u0627\u062a\u062d\u0627\u062f\u0647\u0627<\/text>\n <polygon points=\"240,44 247,40 247,48\" fill=\"#94a3b8\"\/>\n <rect x=\"248\" y=\"28\" width=\"72\" height=\"32\" rx=\"6\" fill=\"rgba(16,185,129,0.12)\" stroke=\"rgba(16,185,129,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"284\" y=\"48\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#10b981\" font-family=\"Tahoma\">\u0628\u0631\u0631\u0633\u06cc \u062c\u0648\u0627\u0628<\/text>\n <polygon points=\"321,44 328,40 328,48\" fill=\"#94a3b8\"\/>\n <rect x=\"329\" y=\"28\" width=\"66\" height=\"32\" rx=\"6\" fill=\"rgba(245,158,11,0.12)\" stroke=\"rgba(245,158,11,0.35)\" stroke-width=\"1.5\"\/>\n <text x=\"362\" y=\"48\" text-anchor=\"middle\" font-size=\"9\" font-weight=\"700\" fill=\"#f59e0b\" font-family=\"Tahoma\">\u067e\u0627\u0633\u062e \u0646\u0647\u0627\u06cc\u06cc<\/text>\n <\/svg>\n <div class=\"m9-figure-caption\">\u06af\u0631\u062f\u0634 \u06a9\u0627\u0631 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u062c\u0628\u0631\u06cc\u061b \u0647\u0645\u06cc\u0634\u0647 \u0628\u0627 \u0633\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0634\u0631\u0648\u0639 \u0648 \u0628\u0627 \u0628\u0631\u0631\u0633\u06cc \u062c\u0648\u0627\u0628 \u067e\u0627\u06cc\u0627\u0646 \u062f\u0647\u06cc\u062f.<\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <\/div><!-- \/accordion -->\n <\/div><!-- \/tab learn -->\n\n <!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n TAB 2: CALCULATOR\n \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n <div id=\"m9Tab-calc\" class=\"m9-tab-panel\">\n <div class=\"glass m9-calc-card\">\n <div class=\"m9-calc-title\">\n <svg width=\"22\" height=\"22\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"var(--clr-primary)\" stroke-width=\"2.2\"><rect x=\"4\" y=\"2\" width=\"16\" height=\"20\" rx=\"2\"\/><line x1=\"8\" y1=\"6\" x2=\"16\" y2=\"6\"\/><line x1=\"8\" y1=\"10\" x2=\"16\" y2=\"10\"\/><line x1=\"8\" y1=\"14\" x2=\"12\" y2=\"14\"\/><\/svg>\n \u0645\u0627\u0634\u06cc\u0646\u200c\u062d\u0633\u0627\u0628 \u062c\u0628\u0631\u06cc \u062a\u0639\u0627\u0645\u0644\u06cc\n <\/div>\n <p style=\"font-size:.83rem;color:var(--clr-text-muted);margin-bottom:1rem;line-height:1.6;\">\u0646\u0648\u0639 \u0645\u062d\u0627\u0633\u0628\u0647 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646 \u0648 \u0646\u062a\u06cc\u062c\u0647 \u0631\u0627 \u0628\u0628\u06cc\u0646!<\/p>\n\n <div class=\"m9-calc-group\" style=\"margin-bottom:1rem;\">\n <label class=\"m9-calc-label\">\u0646\u0648\u0639 \u0639\u0645\u0644\u06cc\u0627\u062a<\/label>\n <select class=\"m9-calc-select\" id=\"m9CalcType\" onchange=\"m9UpdateCalcUI()\">\n <option value=\"eval\">\u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u0639\u0628\u0627\u0631\u062a (\u062c\u0627\u06cc\u06af\u0630\u0627\u0631\u06cc x)<\/option>\n <option value=\"sum_sq\">\u0627\u062a\u062d\u0627\u062f \u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639: (a+b)\u00b2<\/option>\n <option value=\"diff_sq\">\u0627\u062a\u062d\u0627\u062f \u0645\u0631\u0628\u0639 \u062a\u0641\u0627\u0636\u0644: (a\u2212b)\u00b2<\/option>\n <option value=\"conj\">\u0627\u062a\u062d\u0627\u062f \u0645\u0632\u062f\u0648\u062c: (a+b)(a\u2212b)<\/option>\n <option value=\"cube_sum\">\u0627\u062a\u062d\u0627\u062f \u0645\u06a9\u0639\u0628 \u0645\u062c\u0645\u0648\u0639: (a+b)\u00b3<\/option>\n <option value=\"factor2\">\u062a\u062c\u0632\u06cc\u0647: ax\u00b2+bx<\/option>\n <option value=\"diff2sq\">\u062a\u062c\u0632\u06cc\u0647 \u062a\u0641\u0627\u0636\u0644 \u0645\u0631\u0628\u0639\u0627\u062a: a\u00b2\u2212b\u00b2<\/option>\n <\/select>\n <\/div>\n\n <div id=\"m9CalcInputs\" class=\"m9-calc-grid\"><\/div>\n\n <button class=\"m9-calc-btn\" onclick=\"m9Calculate()\">\u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646<\/button>\n\n <div class=\"m9-calc-result\" id=\"m9CalcResult\"><\/div>\n <\/div>\n <\/div>\n\n <!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n TAB 3: QUIZ\n \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n <div id=\"m9Tab-quiz\" class=\"m9-tab-panel\">\n\n <div class=\"glass m9-quiz-score-bar\">\n <div class=\"m9-score-badge\" id=\"m9ScoreBadge\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><polygon points=\"12 2 15.09 8.26 22 9.27 17 14.14 18.18 21.02 12 17.77 5.82 21.02 7 14.14 2 9.27 8.91 8.26 12 2\"\/><\/svg>\n \u0627\u0645\u062a\u06cc\u0627\u0632: \u06f0 \u0627\u0632 \u06f0\n <\/div>\n <span class=\"m9-quiz-counter\" id=\"m9QuizCounter\">\u0633\u0648\u0627\u0644 \u06f1 \u0627\u0632 \u06f1\u06f0<\/span>\n <\/div>\n\n <div class=\"glass m9-quiz-card\" id=\"m9QuizCard\">\n <div class=\"m9-quiz-q\" id=\"m9QuizQ\">\u062f\u0631 \u062d\u0627\u0644 \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u0633\u0648\u0627\u0644...<\/div>\n <div class=\"m9-quiz-opts\" id=\"m9QuizOpts\"><\/div>\n <div class=\"m9-quiz-feedback\" id=\"m9QuizFeedback\"><\/div>\n <button class=\"m9-quiz-next-btn\" id=\"m9QuizNextBtn\" onclick=\"m9NextQuestion()\">\n \u0633\u0648\u0627\u0644 \u0628\u0639\u062f\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M9 18l6-6-6-6\"\/><\/svg>\n <\/button>\n <\/div>\n\n <div id=\"m9QuizFinish\" style=\"display:none;\">\n <div class=\"glass m9-quiz-card\" style=\"text-align:center;\">\n <div style=\"font-size:2.5rem;margin-bottom:.5rem;\" id=\"m9FinishEmoji\">\ud83c\udf89<\/div>\n <div style=\"font-size:1.1rem;font-weight:800;color:var(--clr-text);margin-bottom:.4rem;\" id=\"m9FinishTitle\">\u0622\u0641\u0631\u06cc\u0646!<\/div>\n <div style=\"font-size:.875rem;color:var(--clr-text-light);margin-bottom:1rem;\" id=\"m9FinishMsg\"><\/div>\n <button class=\"m9-quiz-restart-btn\" onclick=\"m9RestartQuiz()\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M3 12a9 9 0 1 0 9-9 9.75 9.75 0 0 0-6.74 2.74L3 8\"\/><path d=\"M3 3v5h5\"\/><\/svg>\n \u062f\u0648\u0628\u0627\u0631\u0647 \u0627\u0645\u062a\u062d\u0627\u0646 \u06a9\u0646\n <\/button>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n TAB 4: NIGHT REVIEW\n \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n <div id=\"m9Tab-night\" class=\"m9-tab-panel\">\n <div class=\"m9-section-heading\">\n <svg width=\"20\" height=\"20\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"var(--clr-primary)\" stroke-width=\"2.2\"><path d=\"M21 12.79A9 9 0 1 1 11.21 3 7 7 0 0 0 21 12.79z\"\/><\/svg>\n \u0645\u0631\u0648\u0631 \u0633\u0631\u06cc\u0639 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u2014 \u0641\u0635\u0644 \u06f5\n <\/div>\n\n <div class=\"m9-night-grid\">\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M3 3h7v7H3z\"\/><path d=\"M14 3h7v7h-7z\"\/><path d=\"M14 14h7v7h-7z\"\/><path d=\"M3 14h7v7H3z\"\/><\/svg>\n \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc\n <\/div>\n <div class=\"m9-night-card-formula\">\u0636\u0631\u06cc\u0628 \u00b7 \u0645\u062a\u063a\u06cc\u0631^\u062a\u0648\u0627\u0646<\/div>\n <div class=\"m9-night-card-note\">\u0647\u0631 \u062c\u0645\u0644\u0647 = \u0636\u0631\u06cc\u0628 \u00d7 \u062a\u0648\u0627\u0646 \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631. \u062f\u0631\u062c\u0647 = \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u062a\u0648\u0627\u0646.<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-secondary);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><line x1=\"12\" y1=\"5\" x2=\"12\" y2=\"19\"\/><line x1=\"5\" y1=\"12\" x2=\"19\" y2=\"12\"\/><\/svg>\n \u062c\u0645\u0639\/\u062a\u0641\u0631\u06cc\u0642 \u0647\u0645\u0627\u0646\u0646\u062f\n <\/div>\n <div class=\"m9-night-card-formula\">ax\u207f \u00b1 bx\u207f = (a\u00b1b)x\u207f<\/div>\n <div class=\"m9-night-card-note\">\u0641\u0642\u0637 \u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0628\u0627 \u0647\u0645\u0627\u0646 \u0645\u062a\u063a\u06cc\u0631 \u0648 \u0647\u0645\u0627\u0646 \u062a\u0648\u0627\u0646 \u0642\u0627\u0628\u0644 \u062c\u0645\u0639 \u0647\u0633\u062a\u0646\u062f.<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-accent);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M18 6L6 18M6 6l12 12\"\/><\/svg>\n \u0636\u0631\u0628 \u062a\u0648\u0627\u0646\u200c\u0647\u0627\n <\/div>\n <div class=\"m9-night-card-formula\">x\u1d50 \u00d7 x\u207f = x\u1d50\u207a\u207f<\/div>\n <div class=\"m9-night-card-note\">\u0636\u0631\u0628 = \u062c\u0645\u0639 \u062a\u0648\u0627\u0646 | \u062a\u0642\u0633\u06cc\u0645 = \u062a\u0641\u0631\u06cc\u0642 \u062a\u0648\u0627\u0646 | \u062a\u0648\u0627\u0646 \u0627\u0632 \u062a\u0648\u0627\u0646 = \u0636\u0631\u0628 \u062a\u0648\u0627\u0646<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-warning);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><polygon points=\"12 2 22 8.5 22 15.5 12 22 2 15.5 2 8.5 12 2\"\/><\/svg>\n \u0627\u062a\u062d\u0627\u062f \u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639\n <\/div>\n <div class=\"m9-night-card-formula\">(a+b)\u00b2 = a\u00b2+2ab+b\u00b2<\/div>\n <div class=\"m9-night-card-note\">\u062c\u0645\u0644\u0647 \u0645\u06cc\u0627\u0646\u06cc \u06f2ab \u0627\u0633\u062a. \u26a0\ufe0f (a+b)\u00b2 \u2260 a\u00b2+b\u00b2<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-danger);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><line x1=\"5\" y1=\"12\" x2=\"19\" y2=\"12\"\/><\/svg>\n \u0627\u062a\u062d\u0627\u062f \u0645\u0631\u0628\u0639 \u062a\u0641\u0627\u0636\u0644\n <\/div>\n <div class=\"m9-night-card-formula\">(a\u2212b)\u00b2 = a\u00b2\u22122ab+b\u00b2<\/div>\n <div class=\"m9-night-card-note\">\u062c\u0645\u0644\u0647 \u0645\u06cc\u0627\u0646\u06cc \u0645\u0646\u0641\u06cc \u0627\u0633\u062a: \u22122ab. \u062c\u0645\u0644\u0627\u062a \u0627\u0648\u0644 \u0648 \u0622\u062e\u0631 \u0647\u0645\u06cc\u0634\u0647 \u0645\u062b\u0628\u062a.<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-success);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><circle cx=\"12\" cy=\"12\" r=\"10\"\/><path d=\"M9 11l3 3L22 4\"\/><\/svg>\n \u0627\u062a\u062d\u0627\u062f \u0645\u0632\u062f\u0648\u062c\n <\/div>\n <div class=\"m9-night-card-formula\">(a+b)(a\u2212b) = a\u00b2\u2212b\u00b2<\/div>\n <div class=\"m9-night-card-note\">\u062d\u0627\u0635\u0644\u200c\u0636\u0631\u0628 \u0645\u0632\u062f\u0648\u062c\u200c\u0647\u0627 = \u062a\u0641\u0627\u0636\u0644 \u0645\u0631\u0628\u0639\u0627\u062a. \u062c\u0645\u0644\u0647 xy \u062d\u0630\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-primary);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M13 2L3 14h9l-1 8 10-12h-9l1-8z\"\/><\/svg>\n \u0645\u06a9\u0639\u0628 \u0645\u062c\u0645\u0648\u0639\n <\/div>\n <div class=\"m9-night-card-formula\">(a+b)\u00b3 = a\u00b3+3a\u00b2b+3ab\u00b2+b\u00b3<\/div>\n <div class=\"m9-night-card-note\">\u0636\u0631\u0627\u06cc\u0628: \u06f1\u060c \u06f3\u060c \u06f3\u060c \u06f1 (\u0645\u062b\u0644\u062b \u067e\u0627\u0633\u06a9\u0627\u0644)<\/div>\n <\/div>\n\n <div class=\"m9-night-card\">\n <div class=\"m9-night-card-title\" style=\"color:var(--clr-secondary);\">\n <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M12 2v20M2 12h20\"\/><circle cx=\"12\" cy=\"12\" r=\"3\"\/><\/svg>\n \u062a\u062c\u0632\u06cc\u0647\n <\/div>\n <div class=\"m9-night-card-formula\">a\u00b2\u2212b\u00b2 = (a+b)(a\u2212b)<\/div>\n <div class=\"m9-night-card-note\">\u06f1. \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 \u2190 \u06f2. \u0627\u062a\u062d\u0627\u062f\u0647\u0627 \u2190 \u06f3. \u06af\u0631\u0648\u0647\u200c\u0628\u0646\u062f\u06cc. \u0647\u0645\u06cc\u0634\u0647 \u0686\u06a9 \u06a9\u0646!<\/div>\n <\/div>\n\n <div class=\"m9-night-card\" style=\"grid-column: 1 \/ -1; background:linear-gradient(135deg,rgba(99,102,241,0.09),rgba(6,182,212,0.07));\">\n <div class=\"m9-night-card-title\" style=\"font-size:.9rem;\">\n <svg width=\"16\" height=\"16\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><path d=\"M21 12.79A9 9 0 1 1 11.21 3 7 7 0 0 0 21 12.79z\"\/><\/svg>\n \u062e\u0644\u0627\u0635\u0647 \u0637\u0644\u0627\u06cc\u06cc \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646\n <\/div>\n <div style=\"display:grid;grid-template-columns:repeat(auto-fill,minmax(180px,1fr));gap:.5rem;margin-top:.4rem;\">\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 \u0647\u0631 \u062c\u0645\u0644\u0647 = \u0636\u0631\u06cc\u0628 \u00d7 \u0645\u062a\u063a\u06cc\u0631^\u062a\u0648\u0627\u0646<\/div>\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 \u0641\u0642\u0637 \u0647\u0645\u0627\u0646\u0646\u062f\u200c\u0647\u0627 \u062c\u0645\u0639\/\u062a\u0641\u0631\u06cc\u0642 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f<\/div>\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 \u0636\u0631\u0628 \u062a\u0648\u0627\u0646 = \u062c\u0645\u0639 \u062a\u0648\u0627\u0646\u200c\u0647\u0627<\/div>\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 (a+b)\u00b2 \u2260 a\u00b2+b\u00b2 (\u0631\u0627\u06cc\u062c\u200c\u062a\u0631\u06cc\u0646 \u0627\u0634\u062a\u0628\u0627\u0647!)<\/div>\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 \u062a\u062c\u0632\u06cc\u0647 = \u0639\u06a9\u0633 \u0636\u0631\u0628<\/div>\n <div style=\"font-size:.78rem;color:var(--clr-text-light);background:rgba(255,255,255,0.5);border-radius:.4rem;padding:.4rem .6rem;\">\u2b50 \u0647\u0645\u06cc\u0634\u0647 \u062c\u0648\u0627\u0628 \u0631\u0627 \u0686\u06a9 \u06a9\u0646<\/div>\n <\/div>\n <\/div>\n\n <\/div>\n <\/div>\n\n<\/div><!-- \/#math9ch5 -->\n\n<script>\n\/* =============================================\n MATH9-CH5 \u2014 All JS scoped to #math9ch5\n ============================================= *\/\n(function(){\n const W = document.getElementById('math9ch5');\n const STORAGE_KEY = 'math9ch5_progress';\n const TOTAL_SECTIONS = 8;\n\n \/* \u2500\u2500 Storage \u2500\u2500 *\/\n function loadProgress(){\n try { return JSON.parse(localStorage.getItem(STORAGE_KEY)) || {}; }\n catch(e){ return {}; }\n }\n function saveProgress(data){\n try { localStorage.setItem(STORAGE_KEY, JSON.stringify(data)); }\n catch(e){}\n }\n\n \/* \u2500\u2500 Init \u2500\u2500 *\/\n function init(){\n const p = loadProgress();\n \/\/ restore toggles\n W.querySelectorAll('.m9-learned-toggle').forEach(function(t){\n const id = parseInt(t.dataset.id);\n if(p[id]) t.checked = true;\n });\n updateProgress();\n m9UpdateCalcUI();\n loadQuizQuestion();\n }\n\n \/* \u2500\u2500 Progress \u2500\u2500 *\/\n window.m9ToggleLearned = function(id, checked){\n const p = loadProgress();\n if(checked) p[id] = true; else delete p[id];\n saveProgress(p);\n updateProgress();\n };\n\n function updateProgress(){\n const p = loadProgress();\n const done = Object.keys(p).length;\n const pct = Math.round((done \/ TOTAL_SECTIONS) * 100);\n const circ = 226;\n const offset = circ - (circ * pct \/ 100);\n\n const ring = W.querySelector('#m9RingFill');\n const label = W.querySelector('#m9RingLabel');\n const bar = W.querySelector('#m9ProgressBar');\n const sub = W.querySelector('#m9ProgressSub');\n\n if(ring) ring.style.strokeDashoffset = offset;\n if(label) label.textContent = pct + '\u066a';\n if(bar) bar.style.width = pct + '%';\n if(sub) sub.textContent = done + ' \u0627\u0632 ' + TOTAL_SECTIONS + ' \u0628\u062e\u0634 \u062a\u06a9\u0645\u06cc\u0644 \u0634\u062f\u0647';\n }\n\n window.m9ResetProgress = function(){\n if(!confirm('\u0622\u06cc\u0627 \u0645\u0637\u0645\u0626\u0646\u06cc\u061f \u067e\u06cc\u0634\u0631\u0641\u062a \u067e\u0627\u06a9 \u0645\u06cc\u200c\u0634\u0648\u062f.')) return;\n saveProgress({});\n W.querySelectorAll('.m9-learned-toggle').forEach(function(t){ t.checked = false; });\n updateProgress();\n };\n\n \/* \u2500\u2500 Tabs \u2500\u2500 *\/\n window.m9SwitchTab = function(name){\n W.querySelectorAll('.m9-tab-btn').forEach(function(b){ b.classList.remove('active'); });\n W.querySelectorAll('.m9-tab-panel').forEach(function(p){ p.classList.remove('active'); });\n const btn = W.querySelector('[onclick=\"m9SwitchTab(\\'' + name + '\\')\"]');\n const panel = W.querySelector('#m9Tab-' + name);\n if(btn) btn.classList.add('active');\n if(panel) panel.classList.add('active');\n };\n\n \/* \u2500\u2500 Accordion \u2500\u2500 *\/\n window.m9ToggleAcc = function(id){\n const item = W.querySelector('#' + id);\n if(!item) return;\n const wasOpen = item.classList.contains('open');\n W.querySelectorAll('.m9-acc-item').forEach(function(i){ i.classList.remove('open'); });\n if(!wasOpen) item.classList.add('open');\n };\n\n \/* \u2500\u2500 Calculator \u2500\u2500 *\/\n const calcConfigs = {\n eval: [\n {id:'expr', label:'\u0639\u0628\u0627\u0631\u062a (\u0645\u062b\u0627\u0644: 3*x*x + 2*x - 1)', placeholder:'3*x*x + 2*x - 1', type:'text'},\n {id:'xval', label:'\u0645\u0642\u062f\u0627\u0631 x', placeholder:'2', type:'number'}\n ],\n sum_sq: [\n {id:'a', label:'\u0645\u0642\u062f\u0627\u0631 a', placeholder:'3', type:'number'},\n {id:'b', label:'\u0645\u0642\u062f\u0627\u0631 b', placeholder:'2', type:'number'}\n ],\n diff_sq: [\n {id:'a', label:'\u0645\u0642\u062f\u0627\u0631 a', placeholder:'4', type:'number'},\n {id:'b', label:'\u0645\u0642\u062f\u0627\u0631 b', placeholder:'1', type:'number'}\n ],\n conj: [\n {id:'a', label:'\u0645\u0642\u062f\u0627\u0631 a', placeholder:'5', type:'number'},\n {id:'b', label:'\u0645\u0642\u062f\u0627\u0631 b', placeholder:'3', type:'number'}\n ],\n cube_sum: [\n {id:'a', label:'\u0645\u0642\u062f\u0627\u0631 a', placeholder:'2', type:'number'},\n {id:'b', label:'\u0645\u0642\u062f\u0627\u0631 b', placeholder:'1', type:'number'}\n ],\n factor2: [\n {id:'a', label:'\u0636\u0631\u06cc\u0628 x\u00b2 (\u0645\u0642\u062f\u0627\u0631 a)', placeholder:'6', type:'number'},\n {id:'b', label:'\u0636\u0631\u06cc\u0628 x (\u0645\u0642\u062f\u0627\u0631 b)', placeholder:'9', type:'number'}\n ],\n diff2sq: [\n {id:'a', label:'\u0645\u0642\u062f\u0627\u0631 a', placeholder:'5', type:'number'},\n {id:'b', label:'\u0645\u0642\u062f\u0627\u0631 b', placeholder:'3', type:'number'}\n ]\n };\n\n window.m9UpdateCalcUI = function(){\n const type = W.querySelector('#m9CalcType').value;\n const cfg = calcConfigs[type] || [];\n const wrap = W.querySelector('#m9CalcInputs');\n wrap.innerHTML = cfg.map(function(f){\n return '<div class=\"m9-calc-group\"><label class=\"m9-calc-label\">' + f.label + '<\/label><input class=\"m9-calc-input\" id=\"m9ci_' + f.id + '\" type=\"' + f.type + '\" placeholder=\"' + f.placeholder + '\" \/><\/div>';\n }).join('');\n const res = W.querySelector('#m9CalcResult');\n if(res){ res.classList.remove('show'); res.innerHTML = ''; }\n };\n\n window.m9Calculate = function(){\n const type = W.querySelector('#m9CalcType').value;\n const res = W.querySelector('#m9CalcResult');\n let html = '';\n\n function g(id){ const el = W.querySelector('#m9ci_' + id); return el ? el.value.trim() : ''; }\n function n(id){ return parseFloat(g(id)); }\n\n try {\n if(type === 'eval'){\n const expr = g('expr');\n const xval = parseFloat(g('xval'));\n if(!expr || isNaN(xval)){ html = '\u26a0\ufe0f \u0644\u0637\u0641\u0627\u064b \u0645\u0642\u0627\u062f\u06cc\u0631 \u0631\u0627 \u062f\u0631\u0633\u062a \u0648\u0627\u0631\u062f \u06a9\u0646.'; }\n else {\n const x = xval;\n const result = Function('\"use strict\"; var x=' + xval + '; return (' + expr + ')')();\n html = '\ud83d\udcca \u0628\u0631\u0627\u06cc x = <strong>' + xval + '<\/strong>:<br>' +\n '\u0639\u0628\u0627\u0631\u062a: <strong style=\"direction:ltr;display:inline-block;\">' + expr + '<\/strong><br>' +\n '\u0646\u062a\u06cc\u062c\u0647 = <strong style=\"font-size:1.2rem;color:var(--clr-primary);\">' + result + '<\/strong>';\n }\n } else if(type === 'sum_sq'){\n const a = n('a'), b = n('b');\n const r = a*a + 2*a*b + b*b;\n html = '(a+b)\u00b2 = <strong>a\u00b2+2ab+b\u00b2<\/strong><br>' +\n 'a=' + a + ', b=' + b + '<br>' +\n '(' + a + '+' + b + ')\u00b2 = ' + a + '\u00b2 + 2\u00d7' + a + '\u00d7' + b + ' + ' + b + '\u00b2<br>' +\n '= ' + (a*a) + ' + ' + (2*a*b) + ' + ' + (b*b) + ' = <strong style=\"color:var(--clr-primary);font-size:1.1rem;\">' + r + '<\/strong>';\n } else if(type === 'diff_sq'){\n const a = n('a'), b = n('b');\n const r = a*a - 2*a*b + b*b;\n html = '(a\u2212b)\u00b2 = <strong>a\u00b2\u22122ab+b\u00b2<\/strong><br>' +\n 'a=' + a + ', b=' + b + '<br>' +\n '(' + a + '\u2212' + b + ')\u00b2 = ' + a + '\u00b2 \u2212 2\u00d7' + a + '\u00d7' + b + ' + ' + b + '\u00b2<br>' +\n '= ' + (a*a) + ' \u2212 ' + (2*a*b) + ' + ' + (b*b) + ' = <strong style=\"color:var(--clr-primary);font-size:1.1rem;\">' + r + '<\/strong>';\n } else if(type === 'conj'){\n const a = n('a'), b = n('b');\n const r = a*a - b*b;\n html = '(a+b)(a\u2212b) = <strong>a\u00b2\u2212b\u00b2<\/strong><br>' +\n 'a=' + a + ', b=' + b + '<br>' +\n '(' + a + '+' + b + ')(' + a + '\u2212' + b + ') = ' + a + '\u00b2 \u2212 ' + b + '\u00b2<br>' +\n '= ' + (a*a) + ' \u2212 ' + (b*b) + ' = <strong style=\"color:var(--clr-primary);font-size:1.1rem;\">' + r + '<\/strong>';\n } else if(type === 'cube_sum'){\n const a = n('a'), b = n('b');\n const r = Math.pow(a+b,3);\n html = '(a+b)\u00b3 = <strong>a\u00b3+3a\u00b2b+3ab\u00b2+b\u00b3<\/strong><br>' +\n 'a=' + a + ', b=' + b + '<br>' +\n '= ' + Math.pow(a,3) + ' + ' + (3*a*a*b) + ' + ' + (3*a*b*b) + ' + ' + Math.pow(b,3) + '<br>' +\n '= <strong style=\"color:var(--clr-primary);font-size:1.1rem;\">' + r + '<\/strong>';\n } else if(type === 'factor2'){\n const a = n('a'), b = n('b');\n function gcd(x,y){ x=Math.abs(x);y=Math.abs(y); while(y){var t=y;y=x%y;x=t;} return x; }\n const g2 = gcd(a, b);\n const a2 = a\/g2, b2 = b\/g2;\n html = '\u0639\u0628\u0627\u0631\u062a: <strong>' + a + 'x\u00b2 + ' + b + 'x<\/strong><br>' +\n '\u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 = <strong>' + g2 + 'x<\/strong><br>' +\n '= <strong style=\"color:var(--clr-primary);font-size:1rem;\">' + g2 + 'x(' + a2 + 'x + ' + b2 + ')<\/strong>';\n } else if(type === 'diff2sq'){\n const a = n('a'), b = n('b');\n html = 'a\u00b2\u2212b\u00b2 = (a+b)(a\u2212b)<br>' +\n 'a=' + a + ', b=' + b + '<br>' +\n a + '\u00b2 \u2212 ' + b + '\u00b2 = (' + a + '+' + b + ')(' + a + '\u2212' + b + ')<br>' +\n '= ' + (a+b) + ' \u00d7 ' + (a-b) + ' = <strong style=\"color:var(--clr-primary);font-size:1.1rem;\">' + (a*a - b*b) + '<\/strong>';\n }\n } catch(e){\n html = '\u26a0\ufe0f \u062e\u0637\u0627: ' + e.message;\n }\n\n res.innerHTML = html;\n res.classList.add('show');\n };\n\n \/* \u2500\u2500 Quiz \u2500\u2500 *\/\n const quizData = [\n { q: '\u062f\u0631 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u06f3x\u00b2 \u2212 \u06f5x + \u06f2 \u060c \u0636\u0631\u06cc\u0628 x\u00b2 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['\u06f5\u2212', '\u06f2', '\u06f3', '\u06f1'], ans: 2, exp: '\u0636\u0631\u06cc\u0628 \u062c\u0645\u0644\u0647 \u06f3x\u00b2 \u0639\u062f\u062f \u06f3 \u0627\u0633\u062a \u06a9\u0647 \u062c\u0644\u0648\u06cc x\u00b2 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f.' },\n { q: '\u062d\u0627\u0635\u0644 (\u06f2x + \u06f3) + (x \u2212 \u06f1) \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['\u06f3x + \u06f2', '3x + 4', '2x + 2', 'x + 2'], ans: 0, exp: '\u062c\u0645\u0644\u0647\u200c\u0647\u0627\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0627 \u062c\u0645\u0639 \u06a9\u0646: 2x+x=3x \u0648 3-1=2\u060c \u067e\u0633 \u062c\u0648\u0627\u0628 3x+2 \u0627\u0633\u062a.' },\n { q: '\u0627\u062a\u062d\u0627\u062f (a+b)\u00b2 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['a\u00b2+b\u00b2', 'a\u00b2+ab+b\u00b2', 'a\u00b2+2ab+b\u00b2', '2a\u00b2+2b\u00b2'], ans: 2, exp: '\u0627\u062a\u062d\u0627\u062f \u0645\u0631\u0628\u0639 \u0645\u062c\u0645\u0648\u0639: (a+b)\u00b2=a\u00b2+2ab+b\u00b2. \u062c\u0645\u0644\u0647 \u0645\u06cc\u0627\u0646\u06cc 2ab \u0627\u0633\u062a.' },\n { q: '\u062d\u0627\u0635\u0644 (x+3)(x\u22123) \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['x\u00b2+6x\u22129', 'x\u00b2\u22129', 'x\u00b2+9', 'x\u00b2\u22126x+9'], ans: 1, exp: '\u0627\u062a\u062d\u0627\u062f \u0645\u0632\u062f\u0648\u062c: (a+b)(a\u2212b)=a\u00b2\u2212b\u00b2. \u067e\u0633 (x+3)(x\u22123)=x\u00b2\u22129.' },\n { q: '\u062a\u062c\u0632\u06cc\u0647 \u0639\u0628\u0627\u0631\u062a 4x\u00b2\u221216 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['4(x+2)(x\u22122)', '4(x\u00b2\u22124)', '(2x+4)(2x\u22124)', '4x(x\u22124)'], ans: 0, exp: '4x\u00b2\u221216 = 4(x\u00b2\u22124) = 4(x+2)(x\u22122). \u0627\u0628\u062a\u062f\u0627 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 \u06f4\u060c \u0628\u0639\u062f \u062a\u0641\u0627\u0636\u0644 \u0645\u0631\u0628\u0639\u0627\u062a.' },\n { q: '\u0627\u06af\u0631 x=3\u060c \u0645\u0642\u062f\u0627\u0631 \u0639\u0628\u0627\u0631\u062a 2x\u00b2\u2212x+1 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['\u06f1\u06f6', '\u06f1\u06f8', '\u06f1\u06f9', '\u06f2\u06f0'], ans: 1, exp: '2(9)\u22123+1 = 18\u22123+1 = 16. \u062a\u0648\u062c\u0647: 2\u00d79=18.' },\n { q: '\u0642\u0627\u0646\u0648\u0646 x^m \u00d7 x^n \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['x^(m\u2212n)', 'x^(m\u00d7n)', 'x^(m+n)', 'x^(m\/n)'], ans: 2, exp: '\u062f\u0631 \u0636\u0631\u0628 \u062a\u0648\u0627\u0646\u200c\u0647\u0627\u06cc \u0647\u0645\u067e\u0627\u06cc\u0647\u060c \u062a\u0648\u0627\u0646\u200c\u0647\u0627 \u062c\u0645\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f: x^m \u00d7 x^n = x^(m+n).' },\n { q: '\u062d\u0627\u0635\u0644 (2x\u22121)\u00b2 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['4x\u00b2\u22121', '4x\u00b2+4x+1', '4x\u00b2\u22124x+1', '2x\u00b2\u22122x+1'], ans: 2, exp: '(2x\u22121)\u00b2=(2x)\u00b2\u22122(2x)(1)+1\u00b2=4x\u00b2\u22124x+1. \u0627\u0632 \u0627\u062a\u062d\u0627\u062f (a\u2212b)\u00b2 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646.' },\n { q: '\u0641\u0627\u06a9\u062a\u0648\u0631 \u0645\u0634\u062a\u0631\u06a9 \u0639\u0628\u0627\u0631\u062a 6x\u00b3+9x\u00b2 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['3x', '3x\u00b2', '6x', '9x\u00b2'], ans: 1, exp: '\u0628\u0632\u0631\u06af\u200c\u062a\u0631\u06cc\u0646 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0639\u062f\u062f\u06cc: gcd(6,9)=3. \u0628\u0632\u0631\u06af\u200c\u062a\u0631\u06cc\u0646 \u062a\u0648\u0627\u0646 \u0645\u0634\u062a\u0631\u06a9 x: x\u00b2. \u067e\u0633 \u0641\u0627\u06a9\u062a\u0648\u0631: 3x\u00b2.' },\n { q: '\u062f\u0631\u062c\u0647 \u0639\u0628\u0627\u0631\u062a 5x\u00b3y\u00b2 \u2212 2xy + 7 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:', opts: ['\u06f3', '\u06f2', '\u06f5', '\u06f6'], ans: 2, exp: '\u062f\u0631\u062c\u0647 \u0647\u0631 \u062c\u0645\u0644\u0647 = \u0645\u062c\u0645\u0648\u0639 \u062a\u0648\u0627\u0646\u200c\u0647\u0627\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627. \u062c\u0645\u0644\u0647 5x\u00b3y\u00b2: 3+2=5. \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u062f\u0631\u062c\u0647 = \u06f5.' },\n ];\n\n let qIdx = 0, score = 0, answered = false;\n\n function loadQuizQuestion(){\n const qCard = W.querySelector('#m9QuizCard');\n const qFin = W.querySelector('#m9QuizFinish');\n if(qIdx >= quizData.length){\n qCard.style.display = 'none';\n qFin.style.display = 'block';\n const pct = Math.round((score\/quizData.length)*100);\n W.querySelector('#m9FinishEmoji').textContent = pct >= 80 ? '\ud83c\udfc6' : pct >= 50 ? '\ud83d\udc4d' : '\ud83d\udcda';\n W.querySelector('#m9FinishTitle').textContent = pct >= 80 ? '\u0639\u0627\u0644\u06cc \u0628\u0648\u062f!' : pct >= 50 ? '\u062e\u0648\u0628 \u0628\u0648\u062f!' : '\u0628\u06cc\u0634\u062a\u0631 \u0645\u0637\u0627\u0644\u0639\u0647 \u06a9\u0646!';\n W.querySelector('#m9FinishMsg').textContent = '\u0627\u0645\u062a\u06cc\u0627\u0632: ' + score + ' \u0627\u0632 ' + quizData.length + ' (' + pct + '\u066a)';\n return;\n }\n answered = false;\n const d = quizData[qIdx];\n W.querySelector('#m9QuizQ').textContent = (qIdx+1) + '. ' + d.q;\n W.querySelector('#m9QuizCounter').textContent = '\u0633\u0648\u0627\u0644 ' + (qIdx+1) + ' \u0627\u0632 ' + quizData.length;\n W.querySelector('#m9ScoreBadge').innerHTML = '<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><polygon points=\"12 2 15.09 8.26 22 9.27 17 14.14 18.18 21.02 12 17.77 5.82 21.02 7 14.14 2 9.27 8.91 8.26 12 2\"\/><\/svg> \u0627\u0645\u062a\u06cc\u0627\u0632: ' + score + ' \u0627\u0632 ' + qIdx;\n const fb = W.querySelector('#m9QuizFeedback');\n fb.className = 'm9-quiz-feedback';\n fb.textContent = '';\n const nb = W.querySelector('#m9QuizNextBtn');\n nb.className = 'm9-quiz-next-btn';\n\n const optsWrap = W.querySelector('#m9QuizOpts');\n optsWrap.innerHTML = d.opts.map(function(o, i){\n return '<button class=\"m9-quiz-opt\" onclick=\"m9Answer(' + i + ')\">' + o + '<\/button>';\n }).join('');\n }\n\n window.m9Answer = function(idx){\n if(answered) return;\n answered = true;\n const d = quizData[qIdx];\n const opts = W.querySelectorAll('.m9-quiz-opt');\n opts.forEach(function(b){ b.classList.add('disabled'); });\n const fb = W.querySelector('#m9QuizFeedback');\n const nb = W.querySelector('#m9QuizNextBtn');\n if(idx === d.ans){\n score++;\n opts[idx].classList.add('correct');\n fb.className = 'm9-quiz-feedback show ok';\n fb.textContent = '\u2705 \u0622\u0641\u0631\u06cc\u0646! ' + d.exp;\n } else {\n opts[idx].classList.add('wrong');\n opts[d.ans].classList.add('correct');\n fb.className = 'm9-quiz-feedback show fail';\n fb.textContent = '\u274c \u0627\u0634\u062a\u0628\u0627\u0647! \u062c\u0648\u0627\u0628 \u062f\u0631\u0633\u062a: \u06af\u0632\u06cc\u0646\u0647 ' + (d.ans+1) + '. ' + d.exp;\n }\n W.querySelector('#m9ScoreBadge').innerHTML = '<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2.5\"><polygon points=\"12 2 15.09 8.26 22 9.27 17 14.14 18.18 21.02 12 17.77 5.82 21.02 7 14.14 2 9.27 8.91 8.26 12 2\"\/><\/svg> \u0627\u0645\u062a\u06cc\u0627\u0632: ' + score + ' \u0627\u0632 ' + (qIdx+1);\n nb.className = 'm9-quiz-next-btn show';\n };\n\n window.m9NextQuestion = function(){\n qIdx++;\n loadQuizQuestion();\n };\n\n window.m9RestartQuiz = function(){\n qIdx = 0; score = 0; answered = false;\n W.querySelector('#m9QuizCard').style.display = '';\n W.querySelector('#m9QuizFinish').style.display = 'none';\n loadQuizQuestion();\n };\n\n \/* \u2500\u2500 Start \u2500\u2500 *\/\n init();\n\n})();\n<\/script>\n<\/body>\n<\/html>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u0641\u0635\u0644 \u06f5 \u0631\u06cc\u0627\u0636\u06cc \u0646\u0647\u0645 – \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0631\u06cc\u0627\u0636\u06cc \u067e\u0627\u06cc\u0647 \u0646\u0647\u0645 \u0641\u0635\u0644 \u06f5: \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639\u060c \u062a\u0645\u0631\u06cc\u0646 \u062a\u0639\u0627\u0645\u0644\u06cc \u0648 \u0645\u0631\u0648\u0631 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u2014 \u0628\u0627 \u0634\u06a9\u0644\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0648 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0645\u0641\u0647\u0648\u0645\u06cc \u06f0\u066a \u067e\u06cc\u0634\u0631\u0641\u062a \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0634\u0645\u0627 \u06f0 \u0627\u0632 \u06f8 \u0628\u062e\u0634 \u062a\u06a9\u0645\u06cc\u0644 \u0634\u062f\u0647 \u0628\u0627\u0632\u0646\u0634\u0627\u0646\u06cc \u0622\u0645\u0648\u0632\u0634 \u0645\u0627\u0634\u06cc\u0646\u200c\u062d\u0633\u0627\u0628 \u06a9\u0648\u06cc\u06cc\u0632 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u06f1. \u0645\u0641\u0647\u0648\u0645 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-964","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.8) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>\u062a\u0648\u0627\u0646 - Mathsymbol<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathsymbol.ir\/?page_id=964\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u062a\u0648\u0627\u0646\" \/>\n<meta property=\"og:description\" content=\"\u0641\u0635\u0644 \u06f5 \u0631\u06cc\u0627\u0636\u06cc \u0646\u0647\u0645 – \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0631\u06cc\u0627\u0636\u06cc \u067e\u0627\u06cc\u0647 \u0646\u0647\u0645 \u0641\u0635\u0644 \u06f5: \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639\u060c \u062a\u0645\u0631\u06cc\u0646 \u062a\u0639\u0627\u0645\u0644\u06cc \u0648 \u0645\u0631\u0648\u0631 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u2014 \u0628\u0627 \u0634\u06a9\u0644\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0648 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0645\u0641\u0647\u0648\u0645\u06cc \u06f0\u066a \u067e\u06cc\u0634\u0631\u0641\u062a \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0634\u0645\u0627 \u06f0 \u0627\u0632 \u06f8 \u0628\u062e\u0634 \u062a\u06a9\u0645\u06cc\u0644 \u0634\u062f\u0647 \u0628\u0627\u0632\u0646\u0634\u0627\u0646\u06cc \u0622\u0645\u0648\u0632\u0634 \u0645\u0627\u0634\u06cc\u0646\u200c\u062d\u0633\u0627\u0628 \u06a9\u0648\u06cc\u06cc\u0632 \u0634\u0628 \u0627\u0645\u062a\u062d\u0627\u0646 \u06f1. \u0645\u0641\u0647\u0648\u0645 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u06cc\u0627\u062f \u06af\u0631\u0641\u062a\u0645 \u0639\u0628\u0627\u0631\u062a \u062c\u0628\u0631\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathsymbol.ir\/?page_id=964\" \/>\n<meta property=\"og:site_name\" content=\"Mathsymbol\" \/>\n<meta property=\"article:modified_time\" content=\"2026-06-14T02:10:03+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 \u062f\u0642\u06cc\u0642\u0647\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/mathsymbol.ir\\\/?page_id=964\",\"url\":\"https:\\\/\\\/mathsymbol.ir\\\/?page_id=964\",\"name\":\"\u062a\u0648\u0627\u0646 - 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