SOLUTION: Simplify and express as a single fraction in its simplest form: 7y/y*y-5y-6 + 2-y/2y*y+y-1

Algebra ->  Expressions -> SOLUTION: Simplify and express as a single fraction in its simplest form: 7y/y*y-5y-6 + 2-y/2y*y+y-1      Log On


   

Question 860352: Simplify and express as a single fraction in its simplest form:
7y/y*y-5y-6 + 2-y/2y*y+y-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify and express as a single fraction in its simplest form:
7y/y*y-5y-6 + 2-y/2y*y+y-1
write it
%287y%29%2F%28y%5E2-5y-6%29 + %282-y%29%2F%282y%5E2%2By-1%29
we can factor the denominators
%287y%29%2F%28%28y-6%29%28y%2B1%29%29 + %282-y%29%2F%28%282y-1%29%28y%2B1%29%29
the common denominator (y-6)(y+1)(2y-1)
%287y%282y-1%29%2B%282-y%29%28y-6%29%29%2F%28%28y-6%29%28y%2B1%29%282y-1%29%29
then
%2814y%5E2-7y%2B2y-12-y%5E2%2B6y%29%2F%28%28y-6%29%28y%2B1%29%282y-1%29%29
combine like terms
%2813y%5E2%2By-12%29%2F%28%28y-6%29%28y%2B1%29%282y-1%29%29