Power of equations

Algebra Level 4

\[\large\begin{equation}\begin{split}x^3-3xy^2=&\ 54\\y^3-3x^2y=&\ 297\end{split}\end{equation}\]

If \(x\) and \(y\) are real numbers that satisfy the system of equations above, find the value of \(x^2+y^2\).

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