SOLUTION: it says for all r, then has an = sign with a line thru it, +_ 2. so not equall to and plus or minus to 2? r^2-5r+6 over r^2-4. answer is r-3 over r+2. not sure how to get this answ

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Question 253943: it says for all r, then has an = sign with a line thru it, +_ 2. so not equall to and plus or minus to 2? r^2-5r+6 over r^2-4. answer is r-3 over r+2. not sure how to get this answer. Thanks!
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The key to this problem is factoring.


Start with the given expression.


Factor to get (note: if you need help with factoring, check out this solver)


Factor to get .


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words, where or

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
it says for all r, then has an = sign with a line thru it, +_ 2. so not equall to and plus or minus to 2?
---
For all r not equal to +/-2
(r^2-5r+6)/(r^2-4)
---
= [(r-3)(r-2)]/[(r-2)(r+2)]
---
= (r-3)/(r+2)
=========================
Cheers,
Stan H.

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