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