Perform the Operations and Simplify the Result When Possible $\frac { 5 } { x + 1 } - \frac { 4 } { x - 1 } + \frac { x + 7 } { x ^ { 2 } - 1 }$

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { 5 } { x + 1 } - \frac { 4 } { x - 1 } + \frac { x + 7 } { x ^ { 2 } - 1 }$

A) $- \frac { 2 } { x + 1 }$
B) $\frac { 3 } { x + 1 }$
C) $\frac { 2 } { ( x + 1 ) ( x - 1 ) }$
D) $\frac { 3 } { ( x + 1 ) ( x - 1 ) }$
E) $\frac { 2 } { x + 1 }$