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6\left(2x^{3}y^{2}-xy^{2}+6y^{2}\right)
Factor out 6.
y^{2}\left(2x^{3}-x+6\right)
Consider 2x^{3}y^{2}-xy^{2}+6y^{2}. Factor out y^{2}.
6y^{2}\left(2x^{3}-x+6\right)
Rewrite the complete factored expression. Polynomial 2x^{3}-x+6 is not factored since it does not have any rational roots.