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\frac{10y^{5}+12x^{5}y^{4}-9x^{4}y^{3}}{10}
Factor out \frac{1}{10}.
y^{3}\left(10y^{2}+12x^{5}y-9x^{4}\right)
Consider 10y^{5}+12x^{5}y^{4}-9x^{4}y^{3}. Factor out y^{3}.
\frac{y^{3}\left(10y^{2}+12x^{5}y-9x^{4}\right)}{10}
Rewrite the complete factored expression.