Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { x ^ { 2 } - 16 }$

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 1 } { x ^ { 2 } - 16 }$ ​

A) $\frac { 1 } { 8 } \left( \frac { A } { x - 4 } - \frac { B } { x + 4 } \right)$
B) $\frac { 8 } { x - 4 } - \frac { 8 } { x + 4 }$
C) $\frac { 1 } { 8 } \left( \frac { 8 } { x - 4 } - \frac { 8 } { x + 4 } \right)$
D) $\frac { 1 } { 8 } \left( \frac { 1 } { x - 4 } - \frac { 1 } { x + 4 } \right)$
E) $\frac { 1 } { 8 } \left( \frac { 1 } { x - 4 } + \frac { 1 } { x + 4 } \right)$