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\({(x + 2)^{2} - (x - 2) - 20 \over x^{2} - 9}\)

 Jul 21, 2018
 #1
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(x + 2)^2 - (x -2) - 20

_________________

   x^2  - 9

 

 

Simplify the numerator  =  x^2 + 4x + 4  - x + 2  - 20   =  x^2 + 3x - 14  ...this is not factorable

The denominator factors as  ( x + 3) ( x - 3)

 

So....the answer is

 

x^2 + 3x  - 14

___________

(x + 3) ( x - 3)

 

 

cool cool cool

 Jul 21, 2018

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