Perform the Indicated Operation $\frac{\mathrm{k}^{2}+15 \mathrm{k}+54}{\mathrm{k}^{2}+16 \mathrm{k}+63} \cdot \frac{\mathrm{k}^{2}+7 \mathrm{k}}{\mathrm{k}^{2}+9 \mathrm{k}+18}$

Multiple Choice

Perform the indicated operation. Give the answer in lowest terms.
- $\frac{\mathrm{k}^{2}+15 \mathrm{k}+54}{\mathrm{k}^{2}+16 \mathrm{k}+63} \cdot \frac{\mathrm{k}^{2}+7 \mathrm{k}}{\mathrm{k}^{2}+9 \mathrm{k}+18}$

A) $\frac{k}{k^{2}+16 k+63}$
B) $\frac{1}{\mathrm{k}+3}$
C) $\frac{\mathrm{k}}{\mathrm{k}+3}$
D) $\frac{k^{2}+7 k}{k+3}$