Cube roots of unity identity

If $1$ , $ω$ , $ω^{2}$ are the three cube roots of unity, prove that $(1 + ω^{2})^{4} = ω$ .

~5 minProof · checked by AIcube roots of unityidentities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VIII. Surds and Imaginary Quantities, Examples VIII.b, No. 24

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.