Perform the indicated operations. Simplify if possible.
-$\frac { 3 x } { x ^ { 2 } - 5 x - 36 } - \frac { x - 1 } { x ^ { 2 } - 16 } + \frac { 1 } { x ^ { 2 } - 13 x + 36 }$
A) $\frac { 2 x ^ { 2 } - x - 5 } { ( x - 9 ) ( x + 4 ) ( x - 4 ) }$
B) $\frac { 2 x - 1 } { ( x - 9 ) ( x + 4 ) }$
C) $\frac { 2 x - 1 } { ( x - 9 ) ( x - 4 ) }$
D) $\frac { 2 x ^ { 2 } - 21 x + 13 } { ( x - 9 ) ( x + 4 ) ( x - 4 ) }$

Question

Quizplus · Accepted Answer

The expression is simplified by factoring the denominators and finding a common denominator, which results in the expression given in choice A.

Perform the Indicated Operations 3xx2−5x−36−x−1x2−16+1x2−13x+36\frac { 3 x } { x ^ { 2 } - 5 x - 36 } - \frac { x - 1 } { x ^ { 2 } - 16 } + \frac { 1 } { x ^ { 2 } - 13 x + 36 }x2−5x−363x​−x2−16x−1​+x2−13x+361​

Perform the Indicated Operations $\frac { 3 x } { x ^ { 2 } - 5 x - 36 } - \frac { x - 1 } { x ^ { 2 } - 16 } + \frac { 1 } { x ^ { 2 } - 13 x + 36 }$