Question
If ω is the complex cube root of unity, show that
$(1+\omega)^3-\left(1+\omega^2\right)^3=0$
$(1+\omega)^3-\left(1+\omega^2\right)^3=0$
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$(a+b)^{-1 / 3}$
$(a+b)+\left(a \omega+b \omega^2\right)+\left(a \omega^2+b \omega\right)=0$