Question

Factor this polynomial expression.

x3 - 64

A. (x + 4)(x2 + 4x + 16)
B. (x - 4)(x2 + 4x + 4)
C. (x + 4)(x2 + 4x + 4)
D. (x - 4)(x2 + 4x + 16)

Answer 1

difference of 2 perfect cubes

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

x^3-4^3=(x-4)(x^2+4x+4^2)
(x-4)(x^2+4x+16)

last one is correct