Perform the indicated operation. Simplify if possible.
-$\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$
A) $\frac { 10 x - 11 } { ( x - 1 ) ( x - 2 ) }$

B) $\frac { 42 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

C) $\frac { 11 x - 10 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

D) $\frac { 10 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

Question

Perform the indicated operation. Simplify if possible.
-$\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$
A) $\frac { 10 x - 11 } { ( x - 1 ) ( x - 2 ) }$

B) $\frac { 42 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

C) $\frac { 11 x - 10 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

D) $\frac { 10 x - 11 } { ( x - 1 ) ( x + 1 ) ( x - 2 ) }$

Quizplus · Accepted Answer

To simplify the given expression, first factor the denominators: $x^2 - 3x + 2$ factors into $(x-1)(x-2)$ and $x^2 - 1$ factors into $(x+1)(x-1)$. The least common denominator (LCD) is $(x-1)(x+1)(x-2)$. Convert each fraction to have this LCD and then combine. The correct simplification leads to $\frac{10x-11}{(x-1)(x+1)(x-2)}$.

Perform the Indicated Operation 3x2−3x+2+7x2−1\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }x2−3x+23​+x2−17​

Perform the Indicated Operation $\frac { 3 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$