SOLUTION: n^2-9-20/2n^2 x n^2+5n/n^2-25

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Question 85478: n^2-9-20/2n^2 x n^2+5n/n^2-25
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression (note: it should be not )


Factor the first numerator (note: if you need help with factoring, check out this solver)




Factor the second numerator


Factor the second denominator

Notice we have these common terms

They divide and cancel out


Now divide and to get


So the expression



simplifies to





As always, we can verify our answer. We can graph the original expression



as a function of x and y like this

graph of

and graph the simplified result



graph of

Since they produce the same graphs, this means they are equivalent. Since they are equivalent, this means that our answer has been verified.

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