SOLUTION: Can someone please help me with this problem: y^2 + 5y - 14 / y^2 + 3y - 28

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Question 201113: Can someone please help me with this problem:
y^2 + 5y - 14 / y^2 + 3y - 28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%5E2%2B5y-14%29%2F%28y%5E2%2B3y-28%29 Start with the given expression.


%28%28y%2B7%29%2A%28y-2%29%29%2F%28y%5E2%2B3y-28%29 Factor y%5E2%2B5y-14 to get %28y%2B7%29%2A%28y-2%29.


%28%28y%2B7%29%2A%28y-2%29%29%2F%28%28y%2B7%29%2A%28y-4%29%29 Factor y%5E2%2B3y-28 to get %28y%2B7%29%2A%28y-4%29.


%28highlight%28%28y%2B7%29%29%28y-2%29%29%2F%28highlight%28%28y%2B7%29%29%28y-4%29%29 Highlight the common terms.


%28cross%28%28y%2B7%29%29%28y-2%29%29%2F%28cross%28%28y%2B7%29%29%28y-4%29%29 Cancel out the common terms.


%28y-2%29%2F%28y-4%29 Simplify.


So %28y%5E2%2B5y-14%29%2F%28y%5E2%2B3y-28%29 simplifies to %28y-2%29%2F%28y-4%29.


In other words, %28y%5E2%2B5y-14%29%2F%28y%5E2%2B3y-28%29=%28y-2%29%2F%28y-4%29