#1199 · Algebra · Linear equations

Product involving cube roots

If $1$ , $ω$ , $ω^{2}$ are the three cube roots of unity, prove that $(1 - ω) (1 - ω^{2}) (1 - ω^{4}) (1 - ω^{5}) = 9$ .

~8 minProof · checked by AICube roots of unityPeriodicity of powers of omega

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VIII. Surds and Imaginary Quantities, Examples VIII.b, No. 26

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