SOLUTION: Simplify completely: (x+7)/(x-7)divided by (x^2-49)/(7-x)

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Question 117015: Simplify completely:
(x+7)/(x-7)divided by (x^2-49)/(7-x)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply the first fraction by the reciprocal of the second fraction


Factor to get


Combine the fractions

Factor a -1 out of to get


Cancel like terms


Simplify


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Answer:

So simplifies to . In other words

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