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function algebra Are the functions u = x2 - y2 - z2, v = x2 - y2 + z2, w = x4+y4+24 - 2x2yz functionally

function algebra

Are the functions u = x2 - y2 - z2, v = x2 - y2 + z2, w = x4+y4+24 - 2x2yz functionally related? If so, find the relationship between them

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