Perform the indicated operations. Simplify if possible.
-$\frac { x } { x ^ { 2 } - 25 } + \frac { 5 } { x + 5 } - \frac { 6 } { x }$
A) $\frac { - 25 ( x - 6 ) } { x ( x + 5 ) ( x - 5 ) }$
B) $\frac { 25 ( x - 6 ) } { ( x + 5 ) ( x - 5 ) }$
C) $\frac { 25 ( x + 6 ) } { x ( x + 5 ) ( x - 5 ) }$
D) $\frac { 6 x ^ { 2 } - 25 x + 150 } { x ( x + 5 ) ( x - 5 ) }$

Question

Quizplus · Accepted Answer

To simplify the given expression, first find a common denominator, which is $x(x+5)(x-5)$ or $x(x^2-25)$. Then, rewrite each fraction with this common denominator and simplify. The correct simplification leads to option A.

Perform the Indicated Operations xx2−25+5x+5−6x\frac { x } { x ^ { 2 } - 25 } + \frac { 5 } { x + 5 } - \frac { 6 } { x }x2−25x​+x+55​−x6​

Perform the Indicated Operations $\frac { x } { x ^ { 2 } - 25 } + \frac { 5 } { x + 5 } - \frac { 6 } { x }$