SOLUTION: Subtract. Write your answer in simplest form. y-2/y+3 – y/2y+6 My answer is: 3y-4/2(y+3)

Algebra ->  Equations -> SOLUTION: Subtract. Write your answer in simplest form. y-2/y+3 – y/2y+6 My answer is: 3y-4/2(y+3)       Log On


   

Question 80222: Subtract. Write your answer in simplest form.

y-2/y+3 – y/2y+6
My answer is: 3y-4/2(y+3)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract and simplify:
%28y-2%29%2F%28y%2B3%29-y%2F%282y%2B6%29
%28%28y-2%29%282y%2B6%29-y%28y%2B3%29%29%2F%28y%2B3%29%282y%2B6%29 Simplify the numerator.
%282y%5E2%2B2y-12-y%5E2-3y%29%2F%28y%2B3%29%282y%2B6%29
%28y%5E2-y-12%29%2F%28y%2B3%29%282y%2B6%29 Factor the numerator.
cross%28%28y%2B3%29%29%28y-4%29%2Fcross%28%28y%2B3%29%29%282y%2B6%29 Cancel the indicated factors.
%28y-4%29%2F%282y%2B6%29
%28y-4%29%2F2%28y%2B3%29
You had:
%283y-4%29%2F2%28y%2B3%29