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x\left(x^{2}-y\right)+x^{2}-y
Do the grouping x^{3}-xy+x^{2}-y=\left(x^{3}-xy\right)+\left(x^{2}-y\right), and factor out x in x^{3}-xy.
\left(x^{2}-y\right)\left(x+1\right)
Factor out common term x^{2}-y by using distributive property.