Perform the indicated operation. Simplify if possible.
-$\frac { m + 8 } { m ^ { 2 } + 4 m - 5 } + \frac { 3 m + 2 } { m ^ { 2 } + 13 m + 40 }$
A) $\frac { 4 m + 10 } { 2 m ^ { 2 } + 17 m + 35 }$
B) $4 m + 10$
C) $\frac { 4 m ^ { 2 } + 15 m + 62 } { ( m - 5 ) ( m + 1 ) ( m - 8 ) }$
D) $\frac { 4 m ^ { 2 } + 15 m + 62 } { ( m + 5 ) ( m - 1 ) ( m + 8 ) }$

Question

Quizplus · Accepted Answer

The denominators are factored as $(m+5)(m-1)$ and $(m+8)(m+5)$. The common denominator is $(m+5)(m-1)(m+8)$. The numerators are adjusted accordingly and combined to get the final expression.

Perform the Indicated Operation m+8m2+4m−5+3m+2m2+13m+40\frac { m + 8 } { m ^ { 2 } + 4 m - 5 } + \frac { 3 m + 2 } { m ^ { 2 } + 13 m + 40 }m2+4m−5m+8​+m2+13m+403m+2​

Perform the Indicated Operation $\frac { m + 8 } { m ^ { 2 } + 4 m - 5 } + \frac { 3 m + 2 } { m ^ { 2 } + 13 m + 40 }$