SOLUTION: Add or Subtract as indicated. Express your result in simplest form. {{{4y/(y^2+6y+5)+2y/(y^2-1)}}} The answer I came up with for this problem was:{{{6y/(y+5)(y-1)}}} I was w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or Subtract as indicated. Express your result in simplest form. {{{4y/(y^2+6y+5)+2y/(y^2-1)}}} The answer I came up with for this problem was:{{{6y/(y+5)(y-1)}}} I was w      Log On


   

Question 71429This question is from textbook Beginning Algebra
: Add or Subtract as indicated. Express your result in simplest form.
4y%2F%28y%5E2%2B6y%2B5%29%2B2y%2F%28y%5E2-1%29
The answer I came up with for this problem was:6y%2F%28y%2B5%29%28y-1%29
I was wondering if I was doing this correctly.
Thanks. This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Your answer is correct:
%284y%2F%28y%5E2%2B6y%2B5%29%29%2B%282y%2F%28y%5E2-1%29%29 Factor the denominators.
%284y%2F%28%28y%2B1%29%28y%2B5%29%29%29%2B%282y%2F%28y-1%29%28y%2B1%29%29 The common denominator is: (y-1)(y+1)(y+5) Add the fractions.
%284y%28y-1%29%2B2y%28y%2B5%29%29%2F%28%28y-1%29%28y%2B1%29%28y%2B5%29%29 Simplify the numerator.
=6y%28y%2B1%29%2F%28%28y-1%29%28y%2B1%29%28y%2B5%29%29+=+6y%2F%28%28y-1%29%28y%2B5%29%29