আমরা জানি, $1 + \omega + \omega^2 = 0$ এবং $\omega^3 = 1$। প্রদত্ত রাশি: $$(1 + \omega^4 - \omega^2)^3 - (1 - \omega^4 + \omega^2)^3$$ $$\Rightarrow (1 + \omega - \omega^2)^3 - (1 - \omega + \omega^2)^3$$ $$\Rightarrow (-\omega^2 - \omega^2)^3 - (-\omega - \omega)^3$$ $$\Rightarrow (-2\omega^2)^3 - (-2\omega)^3$$ $$\Rightarrow -8\omega^6 + 8\omega^3 = -8(1) + 8(1) = 0$$