Factor
\left(5m^{2}-6\right)\left(25m^{4}+30m^{2}+36\right)
Evaluate
125m^{6}-216
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\left(5m^{2}-6\right)\left(25m^{4}+30m^{2}+36\right)
Rewrite 125m^{6}-216 as \left(5m^{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: 5m^{2}-6,25m^{4}+30m^{2}+36.
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