Question

How do you solve `2/(y+3) - y/(y-1) + (y^2+2)/(y^2+2y-3)`?

Answer 1

`(-y)/((y+3)(y-1))`

Explanation:

`2/(y+3)-y/(y-1)+(y^2+2)/(y^2+2y-3)`

`:.2/(y+3)-y/(y-1)+(y^2+2)/((y-1)(y+3))`

`:.(2(y-1)-y(y+3)+y^2+2)/((y+3)(y-1))`

`:.(2y-2-y^2-3y+y^2+2)/((y+3)(y-1))`

`:.(-y)/((y+3)(y-1))`