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5\left(m^{2}+3m^{8}\right)
Factor out 5.
m^{2}\left(1+3m^{6}\right)
Consider m^{2}+3m^{8}. Factor out m^{2}.
5m^{2}\left(1+3m^{6}\right)
Rewrite the complete factored expression. Polynomial 1+3m^{6} is not factored since it does not have any rational roots.