Perform the Indicated Operation and Express in Lowest Terms $\frac{\mathrm{k}^{2}+12 \mathrm{k}+27}{\mathrm{k}^{2}+18 \mathrm{k}+81} \cdot \frac{\mathrm{k}^{2}+9 \mathrm{k}}{\mathrm{k}^{2}+8 \mathrm{k}+15}$

Multiple Choice

Perform the indicated operation and express in lowest terms.
- $\frac{\mathrm{k}^{2}+12 \mathrm{k}+27}{\mathrm{k}^{2}+18 \mathrm{k}+81} \cdot \frac{\mathrm{k}^{2}+9 \mathrm{k}}{\mathrm{k}^{2}+8 \mathrm{k}+15}$

A) $\frac{1}{\mathrm{k}+5}$

B) $\frac{\mathrm{k}}{\mathrm{k}^{2}+18 \mathrm{k}+81}$

C) $\frac{\mathrm{k}}{\mathrm{k}+5}$

D) $\frac{k^{2}+9 k}{k+5}$