Perform the indicated operation. $\frac { n } { n - 7 } + \frac { n + 5 } { n + 5 } + \frac { 8 n + 35 } { n ^ { 2 } - 2 n - 35 }$
A) $\frac { 2 n ( n + 11 ) } { ( n + 7 ) ( n - 5 ) }$
B) $\frac { n ( 2 n + 11 ) } { ( n - 7 ) ( n + 5 ) }$
C) $\frac { n ( 2 n + 11 ) } { ( n + 7 ) ( n - 5 ) }$

Question

Quizplus · Accepted Answer

First, simplify the third fraction's denominator: $n^2 - 2n - 35 = (n - 7)(n + 5)$. Then, find a common denominator for all fractions, which is $(n - 7)(n + 5)$. The sum simplifies to $\frac{n(2n + 11)}{(n - 7)(n + 5)}$, matching option B.

Perform the Indicated Operation nn−7+n+5n+5+8n+35n2−2n−35\frac { n } { n - 7 } + \frac { n + 5 } { n + 5 } + \frac { 8 n + 35 } { n ^ { 2 } - 2 n - 35 }n−7n​+n+5n+5​+n2−2n−358n+35​

Perform the Indicated Operation $\frac { n } { n - 7 } + \frac { n + 5 } { n + 5 } + \frac { 8 n + 35 } { n ^ { 2 } - 2 n - 35 }$