Perform the Indicated Operation $\frac { x } { x ^ { 2 } - 16 } - \frac { 5 } { x ^ { 2 } + 5 x + 4 }$

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $\frac { x } { x ^ { 2 } - 16 } - \frac { 5 } { x ^ { 2 } + 5 x + 4 }$

A) $\frac { x ^ { 2 } - 4 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }$
B) $\frac { x ^ { 2 } - 4 x + 20 } { ( x - 4 ) ( x + 4 ) }$
C) $\frac { x ^ { 2 } - 4 x + 20 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }$
D) $\frac { x ^ { 2 } + 4 x + 20 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }$