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m\left(7m^{2}+4n\right)+7m^{2}+4n
Do the grouping 7m^{3}+4mn+7m^{2}+4n=\left(7m^{3}+4mn\right)+\left(7m^{2}+4n\right), and factor out m in 7m^{3}+4mn.
\left(7m^{2}+4n\right)\left(m+1\right)
Factor out common term 7m^{2}+4n by using distributive property.