SOLUTION: Reduce the given expression to lowest terms. 3x2+7x+2 -------- 4x2-16

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Question 140019: Reduce the given expression to lowest terms.
3x2+7x+2
--------
4x2-16
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E2%2B7x%2B2%29%2F%284x%5E2-16%29 Start with the given expression

%28%28x%2B2%29%283x%2B1%29%29%2F%284x%5E2-16%29 Factor 3x%5E2%2B7x%2B2 to get %28x%2B2%29%283x%2B1%29

%28%28x%2B2%29%283x%2B1%29%29%2F%284%28x%2B2%29%28x-2%29%29 Factor 4x%5E2-16 to get 4%28x%2B2%29%28x-2%29


%28x%2B2%29%283x%2B1%29%2F4%28x%2B2%29%28x-2%29 Combine the fractions


cross%28%28x%2B2%29%29%283x%2B1%29%2F4cross%28%28x%2B2%29%29%28x-2%29 Cancel like terms


%283x%2B1%29%2F4%28x-2%29 Simplify



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Answer:


So %283x%5E2%2B7x%2B2%29%2F%284x%5E2-16%29 simplifies to %283x%2B1%29%2F4%28x-2%29

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3x2+7x+2
--------
4x2-16
*******************************************
(3X+1)(X+2)
-----------
(2X+4)(2X-4)
*******************************************
(3X+1)(X+2)
-----------
2(X+2)*2(X-2)
*****************************************
3X+1
--------
2(X-2)