SOLUTION: T^2 + 6T + 8 ___________ 2T^2 - 8 Need to reduce to lowest term.

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Question 211488: T^2 + 6T + 8
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2T^2 - 8
Need to reduce to lowest term.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28t%5E2%2B6t%2B8%29%2F%282t%5E2-8%29 Start with the given expression.


%28%28t%2B4%29%28t%2B2%29%29%2F%282t%5E2-8%29 Factor t%5E2%2B6t%2B8 to get %28t%2B4%29%28t%2B2%29.


%28%28t%2B4%29%28t%2B2%29%29%2F%282%28t-2%29%28t%2B2%29%29 Factor 2t%5E2-8 to get 2%28t-2%29%28t%2B2%29.


%28%28t%2B4%29highlight%28t%2B2%29%29%2F%282%28t-2%29highlight%28t%2B2%29%29 Highlight the common terms.


%28%28t%2B4%29cross%28t%2B2%29%29%2F%282%28t-2%29cross%28t%2B2%29%29 Cancel out the common terms.


%28%28t%2B4%29%29%2F%282%28t-2%29%29 Simplify.


%28t%2B4%29%2F%282t-4%29 Distribute


So %28t%5E2%2B6t%2B8%29%2F%282t%5E2-8%29 simplifies to %28t%2B4%29%2F%282t-4%29.


In other words, %28t%5E2%2B6t%2B8%29%2F%282t%5E2-8%29=%28t%2B4%29%2F%282t-4%29 where t%3C%3E2 or x%3C%3E-2