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

$\left({x}^{2} - x + 1\right)$
Apply the identity: ${a}^{3} + {b}^{3} = \left(a + b\right) \left({a}^{2} - a b + {b}^{2}\right)$
${x}^{3} + 1 = \left(x + 1\right) \left({x}^{2} - x + 1\right)$
$\frac{{x}^{3} + 1}{x + 1} = \left({x}^{2} - x + 1\right)$