Perform the Indicated Operations and Simplify the Result $$\frac { 9 x ^ { 2 } - 64 } { x ^ { 2 } - 16 } \div \frac { 3 x + 8 } { x + 4 }$$

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { 9 x ^ { 2 } - 64 } { x ^ { 2 } - 16 } \div \frac { 3 x + 8 } { x + 4 }$$

A) $\frac { x - 4 } { 3 x - 8 }$
B) $\frac { 3 x - 8 } { x - 4 }$
C) $\frac { 3 x + 8 } { x + 4 }$
D) $\frac { ( 3 x + 8 ) \left( 9 x ^ { 2 } - 64 \right) } { \left( x ^ { 2 } + 4 \right) ( x + 4 ) }$