Factor
\frac{\left(x-1\right)\left(x+1\right)\sqrt{4-x^{2}}}{2}
Evaluate
\frac{\sqrt{4-x^{2}}\left(x^{2}-1\right)}{2}
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\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{\left(x-1\right)\left(x+1\right)\sqrt{4-x^{2}}}{2}
Rewrite the complete factored expression. Polynomial 4-x^{2} is not factored since it does not have any rational roots.
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