Question

Factor using the identity: a3 + b3 = (a + b)(a2 – ab + b2)

z3 + 8

(z + 2)(z2 – 2z + 4)?

(z + 2)3?

(z3 + 8)(z2 – 8z3 + 64)?

(z + 8)(z2 – 8z + 64)?

Answer 1

the answer is A

Explanation:

got it right on the assignment

Answer 2

Given the identity


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

Then


`z^3 + 8=z^3+2^3 \\ \\ =(z+2)(z^2-2z+2^2) \\ \\ =(z+2)(z^2-2z+4)`