List of Algebra Formulas for Class 10

All the algebraic identities for class 10 formulas provided here. A student may feel difficult to note them and read. To make easy for them, all the important algebra formulas for class 10 are listed below.

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

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