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Prove that |[x+y, y+z, z+x] , [z+x, x+y,...

Prove that `|[x+y, y+z, z+x] , [z+x, x+y, y+z] , [y+z, z+x, x+y]|=2|[x,y,z] , [z,x,y] , [y,z,x]|`

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