Perform the indicated operations. Simplify the result, if possible.
-$$\frac { 4 } { x } + \frac { 8 } { x - 2 }$$
A) $\frac { 12 x - 8 } { x ( x - 2 ) }$
B) $\frac { 12 x - 8 } { x ( 2 - x ) }$
C) $\frac { 8 x - 12 } { x ( 2 - x ) }$
D) $\frac { 8 x - 12 } { x ( x - 2 ) }$

Question

Quizplus · Accepted Answer

To add the fractions, find a common denominator, which is $x(x-2)$. Then, rewrite each fraction with the common denominator and add: $\frac{4(x-2)}{x(x-2)} + \frac{8x}{x(x-2)} = \frac{4x-8+8x}{x(x-2)} = \frac{12x-8}{x(x-2)}$.

Perform the Indicated Operations 4x+8x−2\frac { 4 } { x } + \frac { 8 } { x - 2 }x4​+x−28​

Perform the Indicated Operations $\frac { 4 } { x } + \frac { 8 } { x - 2 }$