# How do you factor y=x^3 + 1000 ?

Feb 1, 2016

$\left(x + 10\right) \left({x}^{2} - 10 x + 100\right)$

#### Explanation:

This is a sum of cubes and is factorised as follows :

${a}^{3} + {b}^{3} = \left(a + b\right) \left({a}^{2} - a b + {b}^{2}\right)$

in this question a = x and b = 10

$\Rightarrow {x}^{3} + 1000 = \left(x + 10\right) \left({x}^{2} - 10 x + 100\right)$