Add or subtract as indicated. Simplify the result, if possible.
-$$\frac { 6 } { x - 3 } + \frac { 6 } { 3 - x }$$
A) $- \frac { 12 } { x - 3 }$
B) 0
C) $\frac { 12 } { x - 3 }$
D) $\frac { 6 } { x - 3 }$

Question

Quizplus · Accepted Answer

The denominators $x - 3$ and $3 - x$ are opposites, so $\frac { 6 } { x - 3 } + \frac { 6 } { 3 - x }$ simplifies to $0$ because $\frac { 6 } { 3 - x }$ is equivalent to $\frac { 6 } { -(x - 3) }$ or $-\frac { 6 } { x - 3 }$, making the sum $0$.

Add or Subtract as Indicated 6x−3+63−x\frac { 6 } { x - 3 } + \frac { 6 } { 3 - x }x−36​+3−x6​

Add or Subtract as Indicated $\frac { 6 } { x - 3 } + \frac { 6 } { 3 - x }$