Question

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

Answer 1

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

y^2-2y+3y-6+(-y+1)(y^2-4y+4)(y^2-2y+1)(y+3)/(y^2+3y-y-3)(y-2)

y^2+y-6-y^3+4y^2+4y^2-4y+y^2-4y+4+y^3+3y^2-2y^2-6y+y+3/(y^2+2y-3)(y-2)

7y^2-12y+1/y^3-2y^2+2y^2-4y-3y+6

7y^2-12y+1/y^3-7y+6