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4\left(3m^{2}n+5m^{3}n^{2}-9m^{4}n^{3}+12m^{3}n^{4}\right)
Factor out 4.
m^{2}n\left(3+5mn-9m^{2}n^{2}+12mn^{3}\right)
Consider 3m^{2}n+5m^{3}n^{2}-9m^{4}n^{3}+12m^{3}n^{4}. Factor out m^{2}n.
4m^{2}n\left(3+5mn-9m^{2}n^{2}+12mn^{3}\right)
Rewrite the complete factored expression.