Perform the indicated operation. Simplify if possible.
-$\frac { x + 2 } { x ^ { 2 } + 13 x + 42 } + \frac { 5 x + 3 } { x ^ { 2 } + 10 x + 24 }$
A) $\frac { 6 x ^ { 2 } + 44 x + 29 } { ( x - 6 ) ( x - 7 ) ( x - 4 ) }$
B) $\frac { 6 x + 5 } { 2 x ^ { 2 } + 23 x + 66 }$
C) $6 x + 5$
D) $\frac { 6 x ^ { 2 } + 44 x + 29 } { ( x + 6 ) ( x + 7 ) ( x + 4 ) }$

Question

Quizplus · Accepted Answer

The denominators factor as $(x+6)(x+7)$ and $(x+4)(x+6)$. The common denominator is $(x+6)(x+7)(x+4)$. The numerators combine to give $6x^2 + 44x + 29$.

Perform the Indicated Operation x+2x2+13x+42+5x+3x2+10x+24\frac { x + 2 } { x ^ { 2 } + 13 x + 42 } + \frac { 5 x + 3 } { x ^ { 2 } + 10 x + 24 }x2+13x+42x+2​+x2+10x+245x+3​

Perform the Indicated Operation $\frac { x + 2 } { x ^ { 2 } + 13 x + 42 } + \frac { 5 x + 3 } { x ^ { 2 } + 10 x + 24 }$