## Elementary Algebra

$2x(x+1)(x-1)$
Since $2x$ is common to both the 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 $a^{2}-b^{2}=(a+b)(a-b)$: $2x(x^{2}-1)=2x(x^{2}-1^{2})=2x(x+1)(x-1)$