SOLUTION: I can not figure out where to even start to figure out this equation r^2-5r+6/r^2-4 For all r does not equal positive or negative 2 The answer says it is: r-3/r+2 I hav

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I can not figure out where to even start to figure out this equation r^2-5r+6/r^2-4 For all r does not equal positive or negative 2 The answer says it is: r-3/r+2 I hav      Log On


   

Question 98652: I can not figure out where to even start to figure out this equation
r^2-5r+6/r^2-4
For all r does not equal positive or negative 2
The answer says it is: r-3/r+2
I have no idea how to actually get that answer, can someone please help?
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!


r^2-5r+6/r^2-4
Factorise r^2-5r+6 = r^2-3r-2r+6 = r(r-3)-2(r-3)= (r-3)(r-2)
Factorise r^2-4 = (r+2)(r-2)
r^2-5r+6/r^2-4 = (r-3)(r-2)/(r+2)(r-2)
= (r-3)/(r+2) is the required answer