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2\left(3x^{2}y^{2}+3x^{2}y^{3}-3xy^{2}+x^{2}y^{2}\right)
Factor out 2.
xy^{2}\left(3x+3xy-3+x\right)
Consider 3x^{2}y^{2}+3x^{2}y^{3}-3xy^{2}+x^{2}y^{2}. Factor out xy^{2}.
2xy^{2}\left(3xy+4x-3\right)
Rewrite the complete factored expression.