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