SOLUTION: Please help me simplify this complex rational expression: Assume you mean: y^2-y-6 over y^2-5y-14 ___________ _________ y^2+6y+5 over y^2-6y-7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me simplify this complex rational expression: Assume you mean: y^2-y-6 over y^2-5y-14 ___________ _________ y^2+6y+5 over y^2-6y-7      Log On


   

Question 107647This question is from textbook Intermediate Algebra
: Please help me simplify this complex rational expression:
Assume you mean:
y^2-y-6 over y^2-5y-14
_____________________
y^2+6y+5 over y^2-6y-7 This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E2-y-6%29%2F%28y%5E2-5y-14%29
--------------
%28y%5E2%2B6y%2B5%29%2F%28y%5E2-6y-7%29
;
Factor everything we can:
%28%28y-3%29%28y%2B2%29%29%2F%28%28y-7%29%28y%2B2%29%29
----------------
%28%28y%2B5%29%28y%2B1%29%29%2F%28%28y-7%29%28y%2B1%29%29
:
Canceling simplifies things:
%28%28y-3%29%29%2F%28%28y-7%29%29
----------------
%28%28y%2B5%29%29%2F%28%28y-7%29%29
:
Invert the dividing fraction and multiply:
%28%28y-3%29%29%2F%28%28y-7%29%29 * %28%28y-7%29%29%2F%28%28y%2B5%29%29 = %28%28y-3%29%29%2F%28%28y%2B5%29%29; The (x-7)'s canceled leaving us with this
:
Did this make sense to you?