# How do you factor 216 - x^3?

Jun 25, 2018

$\left(6 - x\right) \cdot \left(36 + 6 x + {x}^{2}\right)$

#### Explanation:

We have $216 - {x}^{3}$
Now ${6}^{3} = 216$
Then we get
${6}^{3} - {x}^{3}$
Using ${a}^{3} - {b}^{3} = \left(a - b\right) \cdot \left({a}^{2} + a \cdot b + {b}^{2}\right)$

We get
$\left(6 - x\right) \cdot \left(36 + 6 x + {x}^{2}\right)$