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Categories: Algebra Formulas For Class 10

Algebra Formulas For Class 10

By allformula 0 Comment August 8, 2019

Algebraic Identities For Class 10 (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 (x+a)(x–b) =x2+(a–b)x–ab (x–a)(x+b) =x2+(b–a)x–ab (x–a)(x–b) =x2–(a+b)x+ab (a+b)3 =a3+b3+3ab(a+b) (a–b)3 =a3–b3–3ab(a–b) (x+y+z)2 =x2+y2+z2+2xy+2yz+2xz (x+y–z)2 =x2+y2+z2+2xy–2yz–2xz (x–y+z)2 =x2+y2+z2–2xy–2yz+2xz (x–y–z)2 =x2+y2+z2–2xy+2yz–2xz x3+y3+z3–3xyz =(x+y+z)(x2+y2+z2–xy–yz−xz) x2+y2 =12[(x+y)2+(x–y)2] (x+a)(x+b)(x+c) =x3+(a+b+c)x2+(ab+bc+ca)x+abc x3+y3 =(x+y)(x2–xy+y2) x3–y3 =(x–y)(x2+xy+y2) x2+y2+z2−xy–yz–zx =12[(x−y)2+(y−z)2+(z−x)2] Linear Equation in Two Variables a1x+b1y+c1 =0 a2x+b2y+c2 =0