Perform the Indicated Operation and Simplify $$\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 81 } \div \frac { x + 3 } { x + 9 }$$

Multiple Choice

Perform the indicated operation and simplify. $$\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 81 } \div \frac { x + 3 } { x + 9 }$$

A) $\frac { x + 11 } { x - 9 }$
B) $\frac { x - 3 } { x - 9 }$
C) $x ^ { 2 } + 5$
D) $\frac { x - 9 } { x - 3 }$
E) $\frac { x + 3 } { x + 9 }$