# How do you factor the expression x^3 + y^3?

${x}^{3} + {y}^{3} = {\left(x + y\right)}^{3} - 3 x y \left(x + y\right)$
=(x+y){(x+y)^2-3xy)}
$= \left(x + y\right) \left({x}^{2} + 2 x y + {y}^{2} - 3 x y\right)$
$= \left(x + y\right) \left({x}^{2} - x y + {y}^{2}\right)$