Question

a^3+3a^2b+3ab^2+b^3-8​

Answer 1

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

Let a+b = x

==> x^3 - 2^3

==> (x - 2)(x^2 + 2^2 + 2x)

==> (x - 2)(x^2 + 4 + 2x)

Now, replace x by a+b

(a+b-2)((a+b)^2 + 4 +2(a+b))

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