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factor(9x^{3}y^{5}-21x^{2}y^{3}+\frac{7y}{3})
Cancel out xy in both numerator and denominator.
\frac{27x^{3}y^{5}-63x^{2}y^{3}+7y}{3}
Factor out \frac{1}{3}.
y\left(27x^{3}y^{4}-63x^{2}y^{2}+7\right)
Consider 27x^{3}y^{5}-63x^{2}y^{3}+7y. Factor out y.
\frac{y\left(27x^{3}y^{4}-63x^{2}y^{2}+7\right)}{3}
Rewrite the complete factored expression.