Question

Factorize(a+b)^3-(a-b)^3​

Answer 1

Ans:- (a+b)^3-(a-b)^3

Let (a+b) = x and (a-b) = y

= x^3 - y^3

= (x - y) (x^2 + xy + y^2)

= (a + b - a + b) ( (a + b)^2 + (a + b) (a - b) + (a - y)^2 )

= (a + b - a + b) ( a^2 + b^2 + 2ab + a^2 - b^2 + a^2 + b^2 - 2ab)

= (a + b - a + b)(2a^2 + b^2)

here is your answer

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