Perform the Indicated Operation and Express in Lowest Terms $\frac{z^{2}+9 z+18}{z^{2}+14 z+48} \div \frac{z^{2}+3 z}{z^{2}+2 z-48}$

Multiple Choice

Perform the indicated operation and express in lowest terms.
- $\frac{z^{2}+9 z+18}{z^{2}+14 z+48} \div \frac{z^{2}+3 z}{z^{2}+2 z-48}$

A) $\frac{z-6}{z^{2}+8 z}$

B) $\frac{z}{z^{2}+14 z+48}$

C) $\frac{z-6}{z}$

D) z - 6