Question

all algebraic identities class 9th ​

Answer 1

Answer:

(a+b)² = a²+2ab+b²

(a-b)² = a²-2ab+b²

(a+b+c)² = a²+b²+c²+2ab+2bc+2ca

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b) OR a³+3a²b+3ab²+b³

(a-b)³ = a³-b³-3ab(a-b) OR a³-3a²b+3ab²-b³

(x+a)(x+b) = x²+ax+bx+ab OR x²+(a+b)x+ab

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Answer 2

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

a2 – b2 = (a + b)(a – b)

(x + a)(x + b) = x2 + (a + b) x + ab

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a + b)3 = a3 + b3 + 3ab (a + b)

(a – b)3 = a3 – b3 – 3ab (a – b)

a3 + b3 + c3– 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)