Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { ( x + 1 ) ( a - x ) }$

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 1 } { ( x + 1 ) ( a - x ) }$

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