# How do you factor 14x^3 - 21x?

$7 x \left(\setminus \sqrt{2} x + \setminus \sqrt{3}\right) \left(\setminus \sqrt{2} x - \setminus \sqrt{3}\right)$

#### Explanation:

$14 {x}^{3} - 21 x$

$= 7 x \left(2 {x}^{2} - 3\right)$

$= 7 x \left({\left(\setminus \sqrt{2} x\right)}^{2} - {\left(\setminus \sqrt{3}\right)}^{2}\right)$

$= 7 x \left(\setminus \sqrt{2} x + \setminus \sqrt{3}\right) \left(\setminus \sqrt{2} x - \setminus \sqrt{3}\right)$

Jul 22, 2018

$7 x \left(2 {x}^{2} - 3\right)$
$14 {x}^{3}$ & $21 x :$The GCF (Greatest Common Factor) is $7 x$
$14 {x}^{3} - 21 x = 7 x \left(2 {x}^{2} - 3\right)$