Factor
\left(2m+3\right)m^{2}\left(4m^{2}-6m+9\right)
Evaluate
m^{2}\left(8m^{3}+27\right)
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m^{2}\left(27+8m^{3}\right)
Factor out m^{2}.
\left(2m+3\right)\left(4m^{2}-6m+9\right)
Consider 27+8m^{3}. Rewrite 27+8m^{3} as \left(2m\right)^{3}+3^{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).
m^{2}\left(2m+3\right)\left(4m^{2}-6m+9\right)
Rewrite the complete factored expression. Polynomial 4m^{2}-6m+9 is not factored since it does not have any rational roots.
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