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

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) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor to get

Factor to get

Combine the fractions

Cancel like terms

Simplify

-------------------------------------------

Answer:

So simplifies to
Answer by checkley77(12844) (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)
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