Perform the indicated operation. Simplify, if possible. $\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }$
A) $\frac { 3 x ^ { 2 } + 9 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }$
B) $\frac { 3 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }$
C) $\frac { 3 x ^ { 2 } + 15 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }$
D) $\frac { 3 x ^ { 2 } + 15 } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }$

Question

Quizplus · Accepted Answer

The correct answer is A because the least common denominator of the two fractions is (x + 2)(x - 3)(x + 6).

Perform the Indicated Operation 2xx2−x−6+xx2+8x+12\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }x2−x−62x​+x2+8x+12x​

Perform the Indicated Operation $\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }$