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2\left(-3x^{2}y+12xy^{4}-4x^{3}y^{2}\right)
Factor out 2.
xy\left(-3x+12y^{3}-4x^{2}y\right)
Consider -3x^{2}y+12xy^{4}-4x^{3}y^{2}. Factor out xy.
2xy\left(-3x+12y^{3}-4x^{2}y\right)
Rewrite the complete factored expression.