# How do you factor the expression  81x^(4/5) - 256?

May 2, 2018

$\left(9 {x}^{\frac{2}{5}} - 16\right) \cdot \left(9 {x}^{\frac{2}{5}} + 16\right)$

#### Explanation:

$\left(\sqrt{81 {x}^{\frac{4}{5}}} - \sqrt{256}\right) \cdot \left(\sqrt{81 {x}^{\frac{4}{5}}} + \sqrt{256}\right)$

color(green)(sqrt(81x^(4/5))=9x^(2/5)

color(green)(sqrt(256)=16

$\left(9 {x}^{\frac{2}{5}} - 16\right) \cdot \left(9 {x}^{\frac{2}{5}} + 16\right)$