Factor
\left(m^{2}-3\right)\left(m^{4}+3m^{2}+9\right)
Evaluate
m^{6}-27
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\left(m^{2}-3\right)\left(m^{4}+3m^{2}+9\right)
Rewrite m^{6}-27 as \left(m^{2}\right)^{3}-3^{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: m^{2}-3,m^{4}+3m^{2}+9.
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