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\sqrt{x}\left(x^{2}-1\right)
Factor out \sqrt{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).
\sqrt{x}\left(x-1\right)\left(x+1\right)
Rewrite the complete factored expression.