Add or Subtract as Indicated $$\frac { x } { x ^ { 2 } - 16 } - \frac { 4 } { 16 - x ^ { 2 } }$$

Multiple Choice

Add or subtract as indicated. Simplify the result, if possible.
- $$\frac { x } { x ^ { 2 } - 16 } - \frac { 4 } { 16 - x ^ { 2 } }$$

A) $\frac { 1 } { x + 4 }$
B) $\frac { 1 } { x - 4 }$
C) $- \frac { 1 } { x - 4 }$
D) $- \frac { 1 } { x + 4 }$