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2\left(xy^{2}-xy_{2}xy^{2}-xy\right)
Factor out 2.
xy\left(y-y_{2}yx-1\right)
Consider xy^{2}-y_{2}y^{2}x^{2}-xy. Factor out xy.
2xy\left(y-y_{2}yx-1\right)
Rewrite the complete factored expression.