SOLUTION: How do you simplify a rational expression like d+7/d^2-49, whats the answer?

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Question 152261: How do you simplify a rational expression like d+7/d^2-49, whats the answer?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28d%2B7%29%2F%28d%5E2-49%29 Start with the given expression.


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


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


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


%281%29%2F%28d-7%29 Simplify.


So %28d%2B7%29%2F%28d%5E2-49%29 simplifies to %281%29%2F%28d-7%29.


In other words, %28d%2B7%29%2F%28d%5E2-49%29=%281%29%2F%28d-7%29 where d%3C%3E-7 or d%3C%3E7