SOLUTION: Simplify by removing factors of 1 t*2-4/t*2-4t+4

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Question 197555: Simplify by removing factors of 1
t*2-4/t*2-4t+4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28t%5E2-4%29%2F%28t%5E2-4t%2B4%29 Start with the given expression.


%28%28t-2%29%28t%2B2%29%29%2F%28t%5E2-4t%2B4%29 Factor t%5E2-4 to get %28t-2%29%28t%2B2%29.


%28%28t-2%29%28t%2B2%29%29%2F%28%28t-2%29%28t-2%29%29 Factor t%5E2-4t%2B4 to get %28t-2%29%28t-2%29.


%28highlight%28%28t-2%29%29%28t%2B2%29%29%2F%28highlight%28%28t-2%29%29%28t-2%29%29 Highlight the common terms.


%28cross%28%28t-2%29%29%28t%2B2%29%29%2F%28cross%28%28t-2%29%29%28t-2%29%29 Cancel out the common terms.


%28t%2B2%29%2F%28t-2%29 Simplify.


So %28t%5E2-4%29%2F%28t%5E2-4t%2B4%29 simplifies to %28t%2B2%29%2F%28t-2%29.


In other words, %28t%5E2-4%29%2F%28t%5E2-4t%2B4%29=%28t%2B2%29%2F%28t-2%29 where t%3C%3E2