SOLUTION: 1. 9-n^2/n^2-5n+6 x n^2+2n-15/n^2+8n+15

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Question 174198: 1. 9-n^2/n^2-5n+6 x n^2+2n-15/n^2+8n+15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%289-n%5E2%29%2F%28n%5E2-5n%2B6%29%29%28%28n%5E2%2B2n-15%29%2F%28n%5E2%2B8n%2B15%29%29 Start with the given expression.


Factor 9-n%5E2 to get -%28n-3%29%2A%28n%2B3%29.


Factor n%5E2-5n%2B6 to get %28n-2%29%2A%28n-3%29.


Factor n%5E2%2B2n-15 to get %28n%2B5%29%2A%28n-3%29.


Factor n%5E2%2B8n%2B15 to get %28n%2B5%29%2A%28n%2B3%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


-%28n-3%29%2F%28n-2%29 Simplify.


So %28%289-n%5E2%29%2F%28n%5E2-5n%2B6%29%29%28%28n%5E2%2B2n-15%29%2F%28n%5E2%2B8n%2B15%29%29 simplifies to -%28n-3%29%2F%28n-2%29.