Question

Which is a difference of cubes?

a. x^6-27
b. x^15-36
c. x^16-64
d. x^5-125

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Answer 1

Option A
Option A is the only one that can be written as cube form

Answer 2

Answer: Choice A

Reason

x^6 can be rewritten as (x^2)^3

27 can be rewritten as 3^3

We have something of the form a^3 - b^3 where a= x^2 and b = 3.

The difference of cubes formula is:

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