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6\left(2x^{2}yxy^{2}+x^{3}y^{4}\right)
Factor out 6.
x^{3}y^{3}\left(2+y\right)
Consider 2x^{3}y^{3}+x^{3}y^{4}. Factor out x^{3}y^{3}.
6x^{3}y^{3}\left(y+2\right)
Rewrite the complete factored expression.