Perform the Indicated Operation $\frac { 8 x + 6 } { x ^ { 2 } + 7 x + 6 } - \frac { x - 1 } { x ^ { 2 } + 7 x + 6 }$

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 8 x + 6 } { x ^ { 2 } + 7 x + 6 } - \frac { x - 1 } { x ^ { 2 } + 7 x + 6 }$

A) $\frac { 7 x + 5 } { ( x + 6 ) ( x + 1 ) }$
B) $\frac { 7 x ^ { 2 } + 5 } { ( x + 6 ) ( x + 1 ) }$
C) $\frac { 7 } { x + 6 }$
D) $\frac { 7 ( x - 1 ) } { ( x + 6 ) }$