Add. Simplify, if possible.
-$$\frac { 2 } { x - 8 } + \frac { 5 } { 8 - x }$$
A) $\frac { 7 } { x - 8 }$
B) $\frac { - 3 } { x - 8 }$
C) $\frac { 10 } { x - 8 }$
D) $\frac { 3 } { x - 8 }$

Question

Quizplus · Accepted Answer

The denominators are opposites, so the sum of the fractions is the sum of the numerators over the product of the denominators:$$\frac { 2 } { x - 8 } + \frac { 5 } { 8 - x } = \frac { 2 + 5 } { ( x - 8 ) ( 8 - x ) } = \frac { 7 } { x^2 - 64 } = \frac { 7 } { ( x - 8 ) ( x + 8 ) } = \frac { - 3 } { x - 8 }$$

Add Simplify, If Possible 2x−8+58−x\frac { 2 } { x - 8 } + \frac { 5 } { 8 - x }x−82​+8−x5​

Add Simplify, If Possible $\frac { 2 } { x - 8 } + \frac { 5 } { 8 - x }$