Perform the Indicated Operation and Express Your Answer in Simplest $$\frac { 2 x + 6 } { x ^ { 2 } + 12 x + 35 } + \frac { 4 x + 5 } { x ^ { 2 } + 11 x + 30 } + \frac { 17 } { x + 6 }$$

Short Answer

Perform the indicated operation and express your answer in simplest form. $$\frac { 2 x + 6 } { x ^ { 2 } + 12 x + 35 } + \frac { 4 x + 5 } { x ^ { 2 } + 11 x + 30 } + \frac { 17 } { x + 6 }$$ Please enter your answer as one fraction with the denominator factored completely.