Question
If ω is the complex cube root of unity, show that
$\left(1+\omega-\omega^2\right)^6=64$
$\left(1+\omega-\omega^2\right)^6=64$
Get the step-by-step solution for this question inside the Vidyadip app.
Get the answer in the appGenerate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$\left(2+\omega+\omega^2\right)^3-\left(1-3 \omega+\omega^2\right)^3=65$