SOLUTION: t^2-16/t^2-8t+16

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Question 126370: t^2-16/t^2-8t+16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28t%5E2-16%29%2F%28t%5E2-8t%2B16%29 Start with the given expression

%28%28t%2B4%29%28t-4%29%29%2F%28t%5E2-8t%2B16%29 Factor t%5E2-16 to get %28t%2B4%29%28t-4%29


%28%28t%2B4%29%28t-4%29%29%2F%28%28t-4%29%28t-4%29%29 Factor t%5E2-8t%2B16 to get %28t-4%29%28t-4%29



%28t%2B4%29cross%28%28t-4%29%29%2Fcross%28%28t-4%29%29%28t-4%29 Cancel like terms


%28t%2B4%29%2F%28t-4%29 Simplify


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Answer:

So %28t%5E2-16%29%2F%28t%5E2-8t%2B16%29 simplifies to %28t%2B4%29%2F%28t-4%29. In other words %28t%5E2-16%29%2F%28t%5E2-8t%2B16%29=%28t%2B4%29%2F%28t-4%29