Factor
\frac{y\left(6xy+9x-2y^{2}\right)}{9}
Evaluate
\frac{2xy^{2}}{3}+xy-\frac{2y^{3}}{9}
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\frac{27x^{2}+6xy^{2}+9xy-2y^{3}-27x^{2}}{9}
Factor out \frac{1}{9}.
6xy^{2}+9xy-2y^{3}
Consider 27x^{2}+6xy^{2}+9xy-2y^{3}-27x^{2}. Multiply and combine like terms.
y\left(6xy+9x-2y^{2}\right)
Consider 6xy^{2}+9xy-2y^{3}. Factor out y.
\frac{y\left(6xy+9x-2y^{2}\right)}{9}
Rewrite the complete factored expression.
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