Factor
\left(x^{2}+2\right)\left(y^{2}+1\right)
Evaluate
\left(x^{2}+2\right)\left(y^{2}+1\right)
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y^{2}\left(x^{2}+2\right)+x^{2}+2
Do the grouping x^{2}y^{2}+2y^{2}+x^{2}+2=\left(x^{2}y^{2}+2y^{2}\right)+\left(x^{2}+2\right), and factor out y^{2} in x^{2}y^{2}+2y^{2}.
\left(x^{2}+2\right)\left(y^{2}+1\right)
Factor out common term x^{2}+2 by using distributive property. The following polynomials are not factored since they do not have any rational roots: y^{2}+1,x^{2}+2.
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