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