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5\left(3x^{2}y+x^{2}y-4xy^{4}\right)
Factor out 5.
xy\left(3x+x-4y^{3}\right)
Consider 3x^{2}y+x^{2}y-4xy^{4}. Factor out xy.
4x-4y^{3}
Consider 3x+x-4y^{3}. Multiply and combine like terms.
4\left(x-y^{3}\right)
Consider 4x-4y^{3}. Factor out 4.
20xy\left(x-y^{3}\right)
Rewrite the complete factored expression.