#### Answer

$2x(x+1)(x-1)$

#### Work Step by Step

Since $2x$ is common to both terms of the equation, we take it out as a common factor:
$2x^{3}-2x=2x(x^{2}-1)$
We simplify the expression further using the rule $a^{2}-b^{2}=(a+b)(a-b)$:
$2x(x^{2}-1)=2x(x^{2}-1^{2})=2x(x+1)(x-1)$