Question

How do you multiply `(x^2-1)^3`?

Answer 1

`(x^2-1)^3=x^6-3x^4+3x^2-1`

Explanation:

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

`(x^2-1)^3=(x^2)^3-3(x^2)^2+3x^2-1=x^6-3x^4+3x^2-1`