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\frac{2\left(x^{3}-x\right)}{3}
Factor out \frac{2}{3}.
x\left(x^{2}-1\right)
Consider x^{3}-x. Factor out x.
\left(x-1\right)\left(x+1\right)
Consider x^{2}-1. Rewrite x^{2}-1 as x^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{2x\left(x-1\right)\left(x+1\right)}{3}
Rewrite the complete factored expression.