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