Answer
$2x(x+1)(x-1)$.
Work Step by Step
The given polynomial is
$= 2x^3-2x$
Factor out $2x$.
$= 2x(x^2-1)$
Write the the polynomial as $a^2-b^2$.
$= 2x(x^2-1^2)$
Use difference of two square pattern
$a^2-b^2=(a+b)(a-b)$.
We have $a=x$ and $b=1$.
$= 2x(x+1)(x-1)$
Hence, the factor of the polynomial is $2x(x+1)(x-1)$.
