Factor
\left(x^{4}+4\right)\left(x^{8}-4x^{4}+16\right)
Evaluate
x^{12}+64
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\left(x^{4}+4\right)\left(x^{8}-4x^{4}+16\right)
Rewrite 64+x^{12} as \left(x^{4}\right)^{3}+4^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right). The following polynomials are not factored since they do not have any rational roots: x^{4}+4,x^{8}-4x^{4}+16.
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