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What is the quotient in simplest form? State any restrictions on the varible.

 

z^2 -4/ z-3 

divided by

z+2/z^2 +z-12

 Mar 14, 2016
 #1
avatar+5265 
0

((z^2-4)/(z-3))/((z+2)/(z^2+z-12) = ((((z^2)-4)*((z^2)+z-12))/((z-3)*(z+2)))

 Mar 14, 2016
 #2
avatar+295 
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Wait I don't get it... What are the restrictions?..

 Mar 14, 2016
 #3
avatar+295 
0

Oh wait nvrm got it

 Mar 14, 2016
 #4
avatar+1904 
+5

z24z3z+2z2+z12

 

z27z+2z2+z12

 

z2+z7z+2z212

 

The only thing that can be done is to simplify the expression.  The only restrictions would be if you subsitute z for a number and then solve.  z cannot be 0 because if you divide 7 by 0 or 2 by 02 (or 0), you would get undefined as an answer.

 Mar 14, 2016

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