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)

Question

Mathematics

Lexi Herring

9 August, 23:41

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)

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Answers (1)

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Shea · Answer 1

(x - 1) (x^2 + x + 1) = x^3 - 1.

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

Step-by-step 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