Perform the indicated operation. Simplify if possible.
-$\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 7 } { y ^ { 2 } - 1 }$
A) $\frac { 11 y - 10 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }$
B) $\frac { 10 y - 11 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }$
C) $\frac { 10 y - 11 } { ( y - 1 ) ( y - 2 ) }$
D) $\frac { 42 y - 11 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }$

Question

Quizplus · Accepted Answer

The denominators are factored as $(y-1)(y-2)$ and $(y-1)(y+1)$. The common denominator is $(y-1)(y+1)(y-2)$. The numerators are adjusted accordingly and combined to get $10y - 11$.

Perform the Indicated Operation 3y2−3y+2+7y2−1\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 7 } { y ^ { 2 } - 1 }y2−3y+23​+y2−17​

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