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