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\frac{2x^{3}+9x^{2}}{18}
Factor out \frac{1}{18}.
x^{2}\left(2x+9\right)
Consider 2x^{3}+9x^{2}. Factor out x^{2}.
\frac{x^{2}\left(2x+9\right)}{18}
Rewrite the complete factored expression.