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If ω is a complex cube root of unity, show that (2 − ω)(2 − ω2) = 7
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (1 + ω − ω2)6 = 64
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (1 + ω)3 − (1 + ω2)3 = 0
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (2 + ω + ω2)3 − (1 − 3ω + ω2)3 = 65
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (3 + 3ω + 5ω2)6 − (2 + 6ω + 2ω2)3 = 0
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that `("a" + "b"ω + "c"ω^2)/("c" + "a"ω + "b"ω^2)` = ω2
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (a + b) + (aω + bω2) + (aω2 + bω) = 0
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (a − b) (a − bω) (a − bω2) = a3 − b3
Concept: undefined >> undefined
If ω is a complex cube root of unity, show that (a + b)2 + (aω + bω2)2 + (aω2 + bω)2 = 6ab
Concept: undefined >> undefined
If ω is a complex cube root of unity, find the value of `ω + 1/ω`
Concept: undefined >> undefined
If ω is a complex cube root of unity, find the value of ω2 + ω3 + ω4
Concept: undefined >> undefined
If ω is a complex cube root of unity, find the value of (1 + ω2)3
Concept: undefined >> undefined
If ω is a complex cube root of unity, find the value of (1 − ω − ω2)3 + (1 − ω + ω2)3
Concept: undefined >> undefined
If ω is a complex cube root of unity, find the value of (1 + ω)(1 + ω2)(1 + ω4)(1 + ω8)
Concept: undefined >> undefined
If α and β are the complex cube root of unity, show that α2 + β2 + αβ = 0
Concept: undefined >> undefined
If α and β are the complex cube root of unity, show that α4 + β4 + α−1β−1 = 0
Concept: undefined >> undefined
If , where α and β are the complex cube-roots of unity, show that xyz = a3 + b3.
Concept: undefined >> undefined
