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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,



%28%28r%5E2-5r%2B6%29+%2F+%28r%5E2-4+%29%29

As the denominator cannot = zero, therefore the statement: 

"For all r not equal +-2"



Proceding to simplifying the expression 

%28%28r%5E2-5r%2B6%29+%2F+%28r%5E2-4+%29%29

%28%28r-3%29%28r-2%29+%2F+%28r%2B2%29%28r-2%29%29+%29%29

result is

%28r-3%29%2F%28r+%2B2%29%29