How do you factor $x^{3} - 25 x$ $x^3-25x$ ?

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Answer 1 · 2015-10-20T15:22:26

$x (x + 5) (x - 5)$ $x(x+5)(x-5)$

First, factor out an $x$ $x$

$x (x^{2} - 25)$ $x(x^2-25)$

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

$x (x + 5) (x - 5)$ $x(x+5)(x-5)$

How do you factor x3−25xx^3-25x?