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factorize x^12-y^12

 Jul 11, 2015

Best Answer 

 #1
avatar+128475 
+5

x^12 - y^12 =

 

(x^6 - y^6) (x^6 + y^6)  =

 

(x^3 - y^3)(x^3 + y^3)(x^6 + y^6)  =

 

(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)([x^2]^3 + [y^2]^3)

 

(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)(x^2 + y^2)(x^4 - x^2*y^2 + y^4)

 

 

  

 Jul 11, 2015
 #1
avatar+128475 
+5
Best Answer

x^12 - y^12 =

 

(x^6 - y^6) (x^6 + y^6)  =

 

(x^3 - y^3)(x^3 + y^3)(x^6 + y^6)  =

 

(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)([x^2]^3 + [y^2]^3)

 

(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)(x^2 + y^2)(x^4 - x^2*y^2 + y^4)

 

 

  

CPhill Jul 11, 2015
 #2
avatar+118609 
0

Oh - you beat me to it  

 Jul 11, 2015

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