Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.
\frac{y^{2}+3y-4}{y^{2}+4y+3} - \frac{y-1}{y^{2}+4y+3}

So far i have got it down to (y-1)^2 (y+4)/(Y+3)(y+1)^2

Question

Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.
\frac{y^{2}+3y-4}{y^{2}+4y+3} - \frac{y-1}{y^{2}+4y+3}

So far i have got it down to (y-1)^2 (y+4)/(Y+3)(y+1)^2

bibby · Answer

$$\frac{y^{2}+3y-4}{y^{2}+4y+3} - \frac{y-1}{y^{2}+4y+3}$$

anonymous · Answer

So how do i simplify it now?

bibby · Answer

it might help if you realize that $$y^2+3y-4 = (y+4)(y-1)$$and that$$y^2+4y+3=(y+3)(y+1)$$

anonymous · Answer

Yep i can  get to that step it just wont accept my answer on the homework site i dont know why

bibby · Answer

Notice the like denominators you can combine the terms so that you get $$\frac{ (y+4)(y-1)-(y-1) }{ (y+3)(y+1) }$$

bibby · Answer

TBH I'm not sure how to proceed