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\frac{\left(x+9\right)\left(x^{2}+18x+81\right)}{x-9}
Express \left(x+9\right)\times \frac{x^{2}+18x+81}{x-9} as a single fraction.
\frac{x^{3}+27x^{2}+243x+729}{x-9}
Use the distributive property to multiply x+9 by x^{2}+18x+81 and combine like terms.
\frac{\left(x+9\right)\left(x^{2}+18x+81\right)}{x-9}
Express \left(x+9\right)\times \frac{x^{2}+18x+81}{x-9} as a single fraction.
\frac{x^{3}+27x^{2}+243x+729}{x-9}
Use the distributive property to multiply x+9 by x^{2}+18x+81 and combine like terms.