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3\left(4m^{6}+4m^{3}+9m\right)
Factor out 3.
m\left(4m^{5}+4m^{2}+9\right)
Consider 4m^{6}+4m^{3}+9m. Factor out m.
3m\left(4m^{5}+4m^{2}+9\right)
Rewrite the complete factored expression. Polynomial 4m^{5}+4m^{2}+9 is not factored since it does not have any rational roots.