Strange

Suppose xx and yy are real numbers such that x2x^2 and y2y^2 are positive integers.

Find the maximum value of x2xyx^2-xy if (3x2y2)2+(x2+y2)2=72\left(3x^2-y^2\right)^2+\left(x^2+y^2\right)^2=72.


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