Perform the operation indicated. Simplify.
-$$\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 5 } { y - 1 }$$
A) $\frac { 5 y + 7 } { ( y + 2 ) ( y - 1 ) }$
B) $\frac { 8 } { ( y - 2 ) ( y - 1 ) }$
C) $\frac { y - 7 } { ( y - 2 ) ( y - 1 ) }$
D) $\frac { 5 y - 7 } { ( y - 2 ) ( y - 1 ) }$

Question

Quizplus · Accepted Answer

First, factor the denominator of the first fraction: $y^2 - 3y + 2 = (y - 2)(y - 1)$. Then, find a common denominator for both fractions, which is $(y - 2)(y - 1)$. Rewrite both fractions with the common denominator and simplify: $\frac{3}{(y - 2)(y - 1)} + \frac{5(y - 2)}{(y - 2)(y - 1)} = \frac{3 + 5(y - 2)}{(y - 2)(y - 1)} = \frac{5y - 7}{(y - 2)(y - 1)}$.

Perform the Operation Indicated 3y2−3y+2+5y−1\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 5 } { y - 1 }y2−3y+23​+y−15​

Perform the Operation Indicated $\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 5 } { y - 1 }$