From: &noreply@axelvogt.de   
      
   On 14.10.2013 20:30, clicliclic@freenet.de wrote:   
   >   
   > Over which extended region of complex numbers a and b does the relation   
   >   
   >   ABS(a^2*ABS(b - a)^2 + ABS(a)^2*(b^2 - a^2))   
   >   = ABS(a)*ABS(b - a)*(ABS(a)^2 + ABS(b)^2 - ABS(b - a)^2)   
   >   
   > hold?   
   >   
   > Martin.   
   >   
      
   Mpl:   
      
     ABS(a^2*ABS(b - a)^2 + ABS(a)^2*(b^2 - a^2))   
       = ABS(a)*ABS(b - a)*(ABS(a)^2 + ABS(b)^2 - ABS(b - a)^2);   
     eval(%, ABS = 't -> sqrt(t^2)');   
     solve(%);   
      
      
        2        2    2    2    2  2 1/2   
     ((a  (b - a)  + a  (-a  + b )) )    =   
      
             2 1/2         2 1/2   2    2          2   
           (a )    ((b - a) )    (a  + b  - (b - a) )   
      
      
                               {a = a, b = b}   
      
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