SOLUTION: r^2-9/r^2-6r+9

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Question 911961: r^2-9/r^2-6r+9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The idea is to factor as much as possible. Afterwards, cancel out the common terms between the numerator and denominator.

%28r%5E2-9%29%2F%28r%5E2-6r%2B9%29

%28r%5E2-3%5E2%29%2F%28r%5E2-6r%2B9%29

%28%28r-3%29%28r%2B3%29%29%2F%28r%5E2-6r%2B9%29

%28%28r-3%29%28r%2B3%29%29%2F%28%28r-3%29%28r-3%29%29

%28highlight%28%28r-3%29%29%28r%2B3%29%29%2F%28highlight%28%28r-3%29%29%2A%28r-3%29%29

%28cross%28%28r-3%29%29%28r%2B3%29%29%2F%28cross%28%28r-3%29%29%2A%28r-3%29%29

%28r%2B3%29%2F%28r-3%29

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So, %28r%5E2-9%29%2F%28r%5E2-6r%2B9%29 simplifies to %28r%2B3%29%2F%28r-3%29