Factor
\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)
Evaluate
x^{4}-16
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\left(x^{2}-4\right)\left(x^{2}+4\right)
Rewrite x^{4}-16 as \left(x^{2}\right)^{2}-4^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(x-2\right)\left(x+2\right)
Consider x^{2}-4. Rewrite x^{2}-4 as x^{2}-2^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)
Rewrite the complete factored expression. Polynomial x^{2}+4 is not factored since it does not have any rational roots.
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