Question

Factors of (a^3-b^3)-(a-b)^3 are​

Answer 1

Answer:

(a^3-b^3)-(a-b)^3

=(a-b)(a^2+ab+b^2)-(a-b)^3

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

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

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

=(a-b)3ab

=3ab(a-b)