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\frac{x^{2}y-3x^{3}+6x^{2}+3x^{3}y}{3}
Factor out \frac{1}{3}.
x^{2}\left(y-3x+6+3xy\right)
Consider x^{2}y-3x^{3}+6x^{2}+3x^{3}y. Factor out x^{2}.
\frac{x^{2}\left(y-3x+6+3xy\right)}{3}
Rewrite the complete factored expression.