Question

How do you simplify `(x^3+3x^2-2x-6)/(x^3+27)`?

Answer 1

`(x^2-2)/(x^2-3x+9)`.

Explanation:

The Expression`={ul(x^3+3x^2)-ul(2x-6)}/{(x+3)(x^2-3x+9)}`

`={x^2(x+3)-2(x+3)}/{(x+3)(x^2-3x+9)}`

`={cancel((x+3))(x^2-2)}/{cancel((x+3))(x^2-3x+9)}`

`=(x^2-2)/(x^2-3x+9)`.