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If x + 2y + 3z = 0 and x^(3) + 4y^(3) + ...

If `x + 2y + 3z = 0 and x^(3) + 4y^(3) + 9z^(3)= 18 xyz`, evaluate: `((x+2y)^(2))/(xy) + ((2y + 3z)^(2))/(yz) + ((3z+ x)^(2))/(zx)`

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18
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