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Find the maximum value of the expression (x−4)2+(x3−2)2−(x−2)2+(x3+4)2 \sqrt{(x-4)^2 + (x^3 - 2)^2 } - \sqrt{ (x-2)^2 + (x^3 + 4)^2} (x−4)2+(x3−2)2−(x−2)2+(x3+4)2 as xxx runs through all real numbers.
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