SOLUTION: simplify by removing factors of 1 y^2-49/7-y.

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Question 158265: simplify by removing factors of 1 y^2-49/7-y.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%5E2-49%29%2F%287-y%29 Start with the given expression.


%28%28y-7%29%2A%28y%2B7%29%29%2F%287-y%29 Factor y%5E2-49 to get %28y-7%29%2A%28y%2B7%29.


%28%28y-7%29%2A%28y%2B7%29%29%2F%28-%28y-7%29%29 Factor 7-y to get -%28y-7%29.


%28highlight%28%28y-7%29%29%28y%2B7%29%29%2F%28-highlight%28%28y-7%29%29%29 Highlight the common terms.


%28cross%28%28y-7%29%29%28y%2B7%29%29%2F%28-cross%28%28y-7%29%29%29 Cancel out the common terms.


-%28y%2B7%29 Simplify.


-y-7 Distribute


So %28y%5E2-49%29%2F%287-y%29 simplifies to -y-7.


In other words, %28y%5E2-49%29%2F%287-y%29=-y-7 where y%3C%3E7