BMO maximum

Algebra Level 4

If the maximum value of the expression \(x^2y-y^2x\) with \(0\leq x\leq1\) and \(0\leq y\leq1\) can be expressed as \(\frac{m}{n}\) with \(m\) and \(n\) co-prime integer numbers find the value \(m+n\)

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