Question

Which products result in a sum or difference of cubes? Check all that apply. (x – 4)(x2 + 4x – 16) (x – 1)(x2 – x + 1) (x – 1)(x2 + x + 1) (x + 1)( + x – 1) (x + 4)(x2 – 4x + 16) (x + 4)(x2 + 4x + 16)

Answer 1

C and E

Explanation:

Answer 2

(x – 1)(x^2 + x + 1) = x^3 - 1.

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

Explanation:

The identities are:

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

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