# How do you factor #2x^3 - 4x#?

##### 1 Answer

Apr 21, 2016

#### Explanation:

The difference of squares identity can be written:

#a^2-b^2 = (a-b)(a+b)#

We use this with

First note that both terms are divisible by

#2x^3-4x = 2x(x^2-2) = 2x(x^2-(sqrt(2))^2) = 2x(x-sqrt(2))(x+sqrt(2))#