Question

Factorise:
a^3+b^3+3a^2b+3ab^2-[(a+b)(a^2-ab+b^2)]​

Answer 1

Step-by-step explanation:

$a^3+b^3+3a^2b+3ab^2-((a+b)(a^2-ab+b^2)) \\ =a^3+b^3+3a^2b+3ab^2-(a^{3} - a^{2}b + ab^{2} + a^{2}b - ab^{2} + ab^{2}) \\ =a^3+b^3+3a^2b+3ab^2 - {a}^{3} + {a}^{2}b - {ab}^{2} - {a}^{2}b + {ab}^{2} - {ab}^{2} \\ = {b}^{3} + {3a}^{2}b + {2ab}^{2}$