SOLUTION: For all r doesn't = +-2 r^2 - 5r + 6/ r^2 - 4 Please HELP.... Thank you

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Question 423703: For all r doesn't = +-2
r^2 - 5r + 6/ r^2 - 4
Please HELP....
Thank you

Answer by shree840(260) About Me  (Show Source):
You can put this solution on YOUR website!
I believe your question is
(r^2-5r+6)/(r^2-4)
r^2-3r-2r+6=r(r-3)-2(r-3)=(r-2)(r-3) you have negative in the center and positive number so both have to be negative
r^2-4=(r+2)(r-2)
so we have {(r-2)(r-3)}/(r-2)(r+2)
r-2 at bottom and top cancels
we have (r-3)/(r+2)
I believe for all r +-2
if r=-2 we have -2-3 divided by 0=0
if r=2 we have 2-3 divided by 2+2= -1/4
hope this makes sense