Perform the indicated operation. Simplify if possible.
-$$\frac { 4 } { x ^ { 2 } - 3 x + 2 } + \frac { 6 } { x ^ { 2 } - 1 }$$
A) $\frac { 10 x - 8 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$
B) $\frac { 48 x - 8 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$
C) $\frac { 10 x - 8 } { ( x - 1 ) ( x - 2 ) }$
D) $\frac { 8 x - 10 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

Question

Quizplus · Accepted Answer

First, factor the denominators: $x^2 - 3x + 2 = (x - 1)(x - 2)$ and $x^2 - 1 = (x - 1)(x + 1)$. To add the fractions, find a common denominator, which is $(x - 1)(x + 1)(x - 2)$. Adjust the numerators accordingly and simplify to get $\frac{10x - 8}{(x - 1)(x + 1)(x - 2)}$.

Perform the Indicated Operation 4x2−3x+2+6x2−1\frac { 4 } { x ^ { 2 } - 3 x + 2 } + \frac { 6 } { x ^ { 2 } - 1 }x2−3x+24​+x2−16​

Perform the Indicated Operation $\frac { 4 } { x ^ { 2 } - 3 x + 2 } + \frac { 6 } { x ^ { 2 } - 1 }$