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10\left(-x^{3}y+2y^{3}x+4x^{3}y^{3}\right)
Factor out 10.
xy\left(-x^{2}+2y^{2}+4x^{2}y^{2}\right)
Consider -x^{3}y+2y^{3}x+4x^{3}y^{3}. Factor out xy.
10xy\left(-x^{2}+2y^{2}+4x^{2}y^{2}\right)
Rewrite the complete factored expression.