If x ,y ,z are all different and  x 3                     ( x + p ) 3                 ( x - p ) 3 y 3 ( y + p ) 3 ( y - p ) 3 z 3 ( z + p ) 3 ( z - p ) 2   = 0 ,   p r o v e   t h a t p 2   (   x   + y   +   z )   =   3 x y z

cf
  • -4
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