Question

what are the factors of (a+2b)^3+(2a-c)^3-(a+2c)^3+3(a+2b)(2a-c)(a+2c)

Answer 1

this question is based on a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)
so, use this formula and find factor
hence , (2a+2b-3c) is a factor