#1200 · Algebra · Linear equations

Power of binomials with omega

If $1$ , $ω$ , $ω^{2}$ are the three cube roots of unity, prove that $(2 + 5 ω + 2 ω^{2})^{6} = (2 + 2 ω + 5 ω^{2})^{6} = 729$ .

~10 minProof · checked by AICube roots of unityAlgebraic simplification

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VIII. Surds and Imaginary Quantities, Examples VIII.b, No. 27

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