Factor
\left(x^{2}-6\right)\left(x^{4}+6x^{2}+36\right)
Evaluate
x^{6}-216
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\left(x^{2}-6\right)\left(x^{4}+6x^{2}+36\right)
Rewrite x^{6}-216 as \left(x^{2}\right)^{3}-6^{3}. The difference 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^{2}-6,x^{4}+6x^{2}+36.
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