Show that (1)/(2)[(x-y)^(4)+(y-z)^(4)+(z...

Show that `(1)/(2)[(x-y)^(4)+(y-z)^(4)+(z-x)^(4)]` is perfect square.

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The correct Answer is:

`+-(x^(3)+y^(3)+z^(3)-3xyz)`

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