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