Special Products And Factorization
NIOS · Class 10 · Maths
All formulas from Special Products And Factorization in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.
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Special Product Formulas
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b)(a - b) = a² - b²
(x + a)(x + b) = x² + (a + b)x + ab
(ax + b)(cx + d) = acx² + (ad + bc)x + bd
Factorization Methods
ax² + bx + c = a(x - r₁)(x - r₂)
HCF and LCM of Polynomials
HCF × LCM = Product of polynomials
Rational Expressions
P/Q + R/S = (PS + QR)/(QS)
(P/Q) × (R/S) = (PR)/(QS)
(P/Q) ÷ (R/S) = (P/Q) × (S/R) = (PS)/(QR)
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