A wrong problem before

Algebra Level 4

\[\large{\begin{cases} x^2 + x\sqrt{xy} = 2016 \\ y^2 + y\sqrt{xy} = 252 \end{cases} }\]

Let \(x\) and \(y\) be positive real numbers satisfying the above system of equations. Evaluate \(x^2-y^2\).


Inspiration: This was a problem of Shivam Jadhav with a small change.
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