Add or subtract as indicated and simplify if possible.
-$$\frac { - 2 y } { 2 y ^ { 2 } + 5 y } + \frac { y - 3 } { 2 y ^ { 2 } + y - 10 }$$
A) $\frac { - 3 y ^ { 2 } + y + 1 } { y ( 2 y + 5 ) ( y - 2 ) }$
B) $\frac { - 2 y ^ { 2 } + y - 3 } { 2 y ^ { 3 } + 5 y ^ { 2 } - 10 }$
C) $\frac { 1 - y } { ( 2 y + 5 ) ( y - 2 ) }$
D) $\frac { - y - 3 } { 4 y ^ { 2 } + 6 y - 10 }$

Question

Quizplus · Accepted Answer

To add or subtract fractions, we need a common denominator. Factor the denominators: $2y^2 + 5y = y(2y + 5)$ and $2y^2 + y - 10 = (2y + 5)(y - 2)$. The common denominator is $y(2y + 5)(y - 2)$. Rewrite each fraction with the common denominator and simplify. The result is $\frac{1 - y}{(2y + 5)(y - 2)}$.

Add or Subtract as Indicated and Simplify If Possible −2y2y2+5y+y−32y2+y−10\frac { - 2 y } { 2 y ^ { 2 } + 5 y } + \frac { y - 3 } { 2 y ^ { 2 } + y - 10 }2y2+5y−2y​+2y2+y−10y−3​

Add or Subtract as Indicated and Simplify If Possible $\frac { - 2 y } { 2 y ^ { 2 } + 5 y } + \frac { y - 3 } { 2 y ^ { 2 } + y - 10 }$