SOLUTION: Hi, I am stuck on this one. Please help if able. Simplify the rational expression. Assume the denominator never equals zero. y2-7.y+10 ___________ __ 2.(y-4)-(y-3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, I am stuck on this one. Please help if able. Simplify the rational expression. Assume the denominator never equals zero. y2-7.y+10 ___________ __ 2.(y-4)-(y-3)      Log On


   

Question 184201: Hi, I am stuck on this one. Please help if able.
Simplify the rational expression. Assume the denominator never equals zero.
y2-7.y+10
______________
2.(y-4)-(y-3)
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E2+-7y%2B10%29%2F%282%28y-4%29-%28y-3%29%29+

First simplify the denominator and factor the numerator!
%28%28y-5%29%28y-2%29%29%2F%282y-8-y%2B3%29+
%28%28y-5%29%28y-2%29%29%2F%28y-5%29+

Divide out the y-5 factors:
%28%28y-5%29%28y-2%29%29%2F%28y-5%29+
%28y-2%29%2F1+
+y-2

R^2