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Suppose x,y,zx, y, zx,y,z are non-negative real numbers with x+y+z=3x+y+z=3x+y+z=3.
Find the maximum value of:
P=(x−y)(y−z)(z−x)\large P=(x-y)(y-z)(z-x)P=(x−y)(y−z)(z−x)
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