SOLUTION: y^2-9/y^2+3y-18

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Question 286790: y^2-9/y^2+3y-18
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E2-9%29%2F%28y%5E2%2B3y-18%29 Start with the given expression.


%28%28y%2B3%29%28y-3%29%29%2F%28y%5E2%2B3y-18%29 Factor the numerator.


%28%28y%2B3%29%28y-3%29%29%2F%28%28y%2B6%29%28y-3%29%29 Factor the denominator.


%28%28y%2B3%29%2Ahighlight%28%28y-3%29%29%29%2F%28%28y%2B6%29%2Ahighlight%28%28y-3%29%29%29 Highlight the common terms.


%28%28y%2B3%29%2Across%28%28y-3%29%29%29%2F%28%28y%2B6%29%2Across%28%28y-3%29%29%29 Cancel out the common terms.


%28y%2B3%29%2F%28y%2B6%29 Simplify


So %28y%5E2-9%29%2F%28y%5E2%2B3y-18%29=%28y%2B3%29%2F%28y%2B6%29 where y%3C%3E-6 or y%3C%3E3