Simplify the Following Rational Expression $\frac { 1 } { x ^ { 2 } - 7 x - 120 } + \frac { 1 } { x ^ { 2 } - 225 } + \frac { 1 } { x ^ { 2 } - 64 }$

Multiple Choice

Simplify the following rational expression. $\frac { 1 } { x ^ { 2 } - 7 x - 120 } + \frac { 1 } { x ^ { 2 } - 225 } + \frac { 1 } { x ^ { 2 } - 64 }$

A) $\frac { 3 x ^ { 2 } + 7 x - 409 } { ( x - 15 ) ( x + 8 ) }$
B) $\frac { 3 x ^ { 2 } + 7 x - 409 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }$
C) $\frac { 3 x ^ { 2 } + 7 x } { ( x + 15 ) ( x + 8 ) ( x - 8 ) }$
D) $\frac { 3 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }$
E) $\frac { 7 x - 409 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }$