SOLUTION: I am doing a few practice test to brush up before taking a college placement test. One of the questions is: For all r does not equal +-2, r^2-5r+6 / r^2-4 The answer is r-3/r

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Question 363135: I am doing a few practice test to brush up before taking a college placement test. One of the questions is:
For all r does not equal +-2, r^2-5r+6 / r^2-4
The answer is r-3/r+2
Can you walk me through step by step how to arrive at this answer?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,

As the denominator cannot = zero, therefore the statement:
"For all r not equal +-2"
Proceding to simplifying the expression


result is

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