Add or subtract.
-$\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$
A) $\frac { 10 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$
B) $\frac { 11 x - 10 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$
C) $\frac { 42 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$
D) $\frac { 10 x - 11 } { ( x - 1 ) ( x - 2 ) }$

Question

Quizplus · Accepted Answer

To add the fractions, first factor the denominators: $x^2 - 3x + 2 = (x - 1)(x - 2)$ and $x^2 - 1 = (x + 1)(x - 1)$. The common denominator is $(x - 1)(x + 1)(x - 2)$. Adjust the numerators accordingly to add the fractions, resulting in $\frac{10x - 11}{(x - 1)(x + 1)(x - 2)}$.

Add or Subtract 3x2−3x+2+7x2−1\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }x2−3x+23​+x2−17​

Add or Subtract $\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$