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3\left(2x^{2}y^{2}-3x^{2}y^{3}+x^{2}y^{2}\right)
Factor out 3.
x^{2}y^{2}\left(3-3y\right)
Consider 2x^{2}y^{2}-3x^{2}y^{3}+x^{2}y^{2}. Factor out x^{2}y^{2}.
-3y+3
Consider 2-3y+1. Multiply and combine like terms.
3\left(-y+1\right)
Consider -3y+3. Factor out 3.
9\left(-y+1\right)x^{2}y^{2}
Rewrite the complete factored expression.