SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Find each sum or difference, and show all work.</b> 3t + 2/ t - 2 + t + 2/ t^2 - 4 Than

Algebra ->  Equations -> SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Find each sum or difference, and show all work.</b> 3t + 2/ t - 2 + t + 2/ t^2 - 4 Than      Log On


   

Question 35433: Can you please help me solve this problem? I would greatly appreciate your help! Find each sum or difference, and show all work.
3t + 2/ t - 2 + t + 2/ t^2 - 4

Thanks!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%283t+%2B+2%29%2F+%28t+-+2%29+%2B+%28t+%2B+2%29%2F+%28t%5E2+-+4%29+

Factor the second denominator in order to find the LCD, or in this case, to reduce the second fraction:

%283t+%2B+2%29%2F+%28t+-+2%29+%2B+%28t+%2B+2%29%2F+%28%28t-2%29%2A%28t%2B2%29%29+

Divide out the factors of (t+2) in the second fraction:
%283t+%2B+2%29%2F+%28t+-+2%29+%2B+1%2F+%28t-2%29+

Now combine the numerators together, and place over the LCD, which is (t-2):
+%283t%2B+2+%2B+1%29%2F%28t-2%29+

Combine like terms:
+%283t%2B3%29%2F%28t-2%29

It factors, but it does not reduce, so this last step is optional:
+%283%28t%2B1%29%29%2F%28t-2%29

R^2 at SCC