It is not hard as it looks!
Algebra
Level
4
\[ \large\alpha^6 + \beta^6 + \gamma^6 + (\alpha\beta)^3 + (\beta\gamma)^3 + (\alpha\gamma)^3 \]
Let \(\alpha, \beta\) and \( \gamma\) be the zeroes of the polynomial \(x^3-x-1\). Find the value of the expression above.
by
Puneet Pinku