SOLUTION: Hello there Im strugling with this problem.Could you help? Thanks For all R =/ + and - 2 , R2 - 5R + 6 ----------- --- = ? R2 -4 TH

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello there Im strugling with this problem.Could you help? Thanks For all R =/ + and - 2 , R2 - 5R + 6 ----------- --- = ? R2 -4 TH      Log On


   

Question 164126: Hello there Im strugling with this problem.Could you help? Thanks
For all R =/ + and - 2 ,


R2 - 5R + 6
--------------- = ?
R2 -4
THE answer is
R - 3
------- I would like to know why.Thanks
R + 2
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%28R%5E2+-+5R+%2B+6%29%2F%28R%5E2+-4%29
.
Notice that you can factor the numerator:
%28%28R-3%29%28R-2%29%29%2F%28R%5E2+-4%29
.
Similarly, you can factor the denominator:
%28%28R-3%29%28R-2%29%29%2F%28%28R-2%29%28R%2B2%29%29
.
Now, you can cancel like-terms:
%28R-3%29%2F%28R%2B2%29