SOLUTION: simplify {{{3/(y^2+y) - 2/(y^2+3y+2)}}}

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: simplify {{{3/(y^2+y) - 2/(y^2+3y+2)}}}      Log On


   

Question 1140823: simplify 3%2F%28y%5E2%2By%29+-+2%2F%28y%5E2%2B3y%2B2%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify 3%2F%28y%5E2%2By%29+-+2%2F%28y%5E2%2B3y%2B2%29
factor
3%2F%28y%28y%2B1%29%29+-+2%2F%28y%2B2%29%28y%2B1%29%29
:
common denominator y(y+2)(y+1)
%283%28y%2B2%29-2y%29%2F%28y%28y%2B2%29%28y%2B1%29%29
:
distribute 3
%283y%2B6-2y%29%2F%28y%28y%2B2%29%28y%2B1%29%29
:
%28y%2B6%29%2F%28y%28y%2B2%29%28y%2B1%29%29 or %28y%2B6%29%2F%28y%28y%5E2%2B3y%2B2%29%29%29