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\frac{\left(x^{2}+9x+18\right)\left(6x-18\right)}{\left(x+6\right)\left(x^{2}-9\right)}
Divide \frac{x^{2}+9x+18}{x+6} by \frac{x^{2}-9}{6x-18} by multiplying \frac{x^{2}+9x+18}{x+6} by the reciprocal of \frac{x^{2}-9}{6x-18}.
\frac{6\left(x-3\right)\left(x+3\right)\left(x+6\right)}{\left(x-3\right)\left(x+3\right)\left(x+6\right)}
Factor the expressions that are not already factored.
6
Cancel out \left(x-3\right)\left(x+3\right)\left(x+6\right) in both numerator and denominator.