Question

How do you simplify `(x^3+1)/(x+1)`?

Answer 1

`(x^2 - x + 1)`

Explanation:

Apply the identity: `a^3 + b^3 = (a + b)(a^2 - ab + b^2)`
`x^3 + 1 = (x + 1)(x^2 - x + 1)`
Therefor:
`(x^3 + 1)/(x + 1) = (x^2 - x + 1)`