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