(3y-2/y+3) - (3y+1)/(y2+6y-9)
The Attempt at a Solution
Ok, I have attempted to solve in 2 steps, step 1: solve 3y-2/y+3 step 2: solve 3y+1/y2+6y-9 and then subtract the answers. This doesn't seem to work, as I get:
3y-2/y+3 = 3 remainder 11
3y+1/y2+6y-9 = 3y+1/(y-3)(y-3)
*y2+6y-9 simplified = (y-3)(y-3)
so final answer I got was 3r11-[(3y+1)/(y-3)(y-3)], which doesn't make sense. I think I am approaching the problem wrong, please provide some direction...