Answer
$3x(x+1)(x-1)$
Work Step by Step
We are given the expression $3x^{3}-3x$. First, we can use the distributive property to factor out $3x$, the greatest common factor of both terms.
$3x^{3}-3x=3x(x^{2}-1)$
If $a$ and $b$ are real numbers, we know that $a^{2}-b^{2}=(a+b)(a-b)$.
Therefore, $3x(x^{2}-1)=3x(x+1)(x-1)$.
In this case, $a=x$ and $b=1$.
