Highschool Exam Question About Cube Factoring Given;
$ a^3 - 3ab^2 = 10 $ and $  b^3 - 3ba^2 = 5$
What is the value of $ a^2 + b^2  $ ?

\begin{align}
    10 &= a^3 - 3ab^2 \\
    5 &= b^3 - 3a^2b \\
    \hline
    100 &= a^6 -6a^4b^2 + 9a^2b^4 \\
    25 &= b^6 - 6a^2b^4 + 9a^4b^2 \\
    \hline
    125 &= a^6 + 3a^4b^2 + 3a^2b^4 + b^6 \\
    5^3 &= (a^2 + b^2)^3 \\
    5 &= a^2 + b^2
\end{align}
