SOLUTION: how do i solve this problem by using Simplifying Rational Expressions d+7/d^2-49

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Question 248806: how do i solve this problem by using Simplifying Rational Expressions
d+7/d^2-49
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.


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


%28%28d%2B7%29%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.


1%2F%28d-7%29 Simplify.


So %28d%2B7%29%2F%28d%5E2-49%29 simplifies to 1%2F%28d-7%29.


In other words, %28d%2B7%29%2F%28d%5E2-49%29=1%2F%28d-7%29