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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$(x+1)^4-4(x+1)^3(x-1)+6(x+1)^2(x-1)^2-4(x+1)(x-1)^3+(x-1)^4$