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.

×

Problem Loading...

Note Loading...

Set Loading...