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9\left(xy^{2}+x^{5}y^{2}\right)
Factor out 9.
xy^{2}\left(1+x^{4}\right)
Consider xy^{2}+x^{5}y^{2}. Factor out xy^{2}.
9xy^{2}\left(1+x^{4}\right)
Rewrite the complete factored expression. Polynomial 1+x^{4} is not factored since it does not have any rational roots.