Question

Which of the following is a factor in the general formula for factoring the difference of cubes?

a. (a^2-ab-b^2)
b. (a^2-ab+b^2)
c. (a^2+ab-b^2)
d. (a^2+ab+b^2)

Answer 1

the answer (a-b) (a^2-ab+b^2)

Explanation:

I took the quiz ;)

Answer 2

D: a² + ab + b²

Explanation:

The general formula used for factoring a difference in cubes is;

a³ - b³ = (a - b)(a² + ab + b²)

Thus, the factors are either;

(a - b) or (a² + ab + b²)

Looking at the given options, the only one that is a factor is (a² + ab + b²) which is option D.