SOLUTION: How do you add rational expressions when one of he denominators is a trinomial and one is a binomial. ex: 4/((( y^2 - 3y +2 ))) + 6/((( y^2 -1 )))

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you add rational expressions when one of he denominators is a trinomial and one is a binomial. ex: 4/((( y^2 - 3y +2 ))) + 6/((( y^2 -1 )))      Log On


   

Question 336936: How do you add rational expressions when one of he denominators is a trinomial and one is a binomial.
ex: 4/((( y^2 - 3y +2 ))) + 6/((( y^2 -1 )))
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you add rational expressions when one of he denominators is a trinomial and one is a binomial.
ex: 4%2F%28%28y%5E2+-+3y+%2B2%29%29+%2B+6%2F%28%28y%5E2+-1%29%29
Both denominators will factor
4%2F%28%28y-2%29%28y-1%29%29+%2B+6%2F%28%28y-1%29%28y%2B1%29%29
The common denominator; (y-2)(y-1)(y+1), so we have:
%284%28y%2B1%29+%2B+6%28y-2%29%29%2F%28%28y-2%29%28y-1%29%28y%2B1%29%29
:
%28%284y+%2B+4+%2B+6y+-12%29%29%2F%28%28y-2%29%28y-1%29%28y%2B1%29%29 = %28%2810y+-+8%29%29%2F%28%28y-2%29%28y-1%29%28y%2B1%29%29