Factor
\left(m^{2}-5\right)\left(m^{4}+5m^{2}+25\right)
Evaluate
m^{6}-125
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\left(m^{2}-5\right)\left(m^{4}+5m^{2}+25\right)
Rewrite m^{6}-125 as \left(m^{2}\right)^{3}-5^{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}-5,m^{4}+5m^{2}+25.
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