Question

The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64? a3 – b3 = (a – b)(a2 ab b2) (x – 4)(x2 4x 8) (x – 4)(x2 4x 16) (x – 64)(x2 64x 16) (x – 64)(x2 64x 4,096)

Answer 1

B

Explanation:

edge 2020

Answer 2

Use the formula
(a^3 - b^3) = (a - b)(a^2 + ab + b^2)

So
x^3 - 64 = (x^3 - 4^3)
= (x - 4)(x^2 + 4x + 16)

Your answer is
(x - 4)(x^2 + 4x + 16)