How do you factor x^3-25x?

Oct 20, 2015

$x \left(x + 5\right) \left(x - 5\right)$

Explanation:

First, factor out an $x$

$x \left({x}^{2} - 25\right)$

${x}^{2} - 25$ is the difference of two squares, $x$ and $5$ so we can further factor to the following:

$x \left(x + 5\right) \left(x - 5\right)$