Factor
\left(y-1\right)\left(x^{2}+1\right)
Evaluate
\left(y-1\right)\left(x^{2}+1\right)
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y\left(x^{2}+1\right)-\left(x^{2}+1\right)
Do the grouping x^{2}y+y-x^{2}-1=\left(x^{2}y+y\right)+\left(-x^{2}-1\right), and factor out y in the first and -1 in the second group.
\left(x^{2}+1\right)\left(y-1\right)
Factor out common term x^{2}+1 by using distributive property. Polynomial x^{2}+1 is not factored since it does not have any rational roots.
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