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avatar+117 

$$\frac{4x^2-9}{2x+5}:\frac{(2x-3)^2}{4x^2-25}$$

 Nov 20, 2014

Best Answer 

 #3
avatar+23252 
+10

Since it is a division problem, multiply by the reciprocal:

Factored:  [ (2x - 3)(2x + 3) ] / (2x + 5) · [ (2x + 5)(2x - 5) ] / [ (2x - 3)(2x - 3) ]

Numerator:      (2x - 3)(2x + 3)(2x + 5)(2x - 5)

Denominator:  (2x + 5)(2x - 3)(2x - 3)

Cancel:                 [ (2x + 3)(2x - 5) ] / (2x - 3) 

 Nov 20, 2014
 #1
avatar+23252 
0

Nothing will cancel; is there a division sign between them?

 Nov 20, 2014
 #2
avatar+117 
0

yes, i forgot to put it in my equation

 Nov 20, 2014
 #3
avatar+23252 
+10
Best Answer

Since it is a division problem, multiply by the reciprocal:

Factored:  [ (2x - 3)(2x + 3) ] / (2x + 5) · [ (2x + 5)(2x - 5) ] / [ (2x - 3)(2x - 3) ]

Numerator:      (2x - 3)(2x + 3)(2x + 5)(2x - 5)

Denominator:  (2x + 5)(2x - 3)(2x - 3)

Cancel:                 [ (2x + 3)(2x - 5) ] / (2x - 3) 

geno3141 Nov 20, 2014

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