Identities!

Algebra Level 3

\[ \large{\begin{cases} {{ a }^{ 3 }-3a{ b }^{ 2 }=5} \\ {{ b }^{ 3 }-3b{ a }^{ 2 }=10} \end{cases}} \]

Given that \(a\) and \(b\) are real numbers such that they satisfy the system of equations above. Find the value of \({ a }^{ 2 }+{ b }^{ 2 }\) .

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