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\frac{\left(x^{2}+6x+9\right)\left(x+3\right)}{x}
Divide x^{2}+6x+9 by \frac{x}{x+3} by multiplying x^{2}+6x+9 by the reciprocal of \frac{x}{x+3}.
\frac{x^{3}+9x^{2}+27x+27}{x}
Use the distributive property to multiply x^{2}+6x+9 by x+3 and combine like terms.
\frac{\left(x^{2}+6x+9\right)\left(x+3\right)}{x}
Divide x^{2}+6x+9 by \frac{x}{x+3} by multiplying x^{2}+6x+9 by the reciprocal of \frac{x}{x+3}.
\frac{x^{3}+9x^{2}+27x+27}{x}
Use the distributive property to multiply x^{2}+6x+9 by x+3 and combine like terms.