Question

Factorise ((2a+b)^3)-(((a+2b)^3)

Answer 1

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

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

= (a-b) (4a^2+b^2 + 4ab + a^2 +4b^2 -4ab + 2a^2 + 2ba+ ba+2b^2)

= (a-b) (7a^2 + 7b^2+2ab)

Answer 2

Answer:

(a-b) (7a^2+7a^2-3ab)