Prove that (1+w²)³-(1+w)³=0

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1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0 1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0
if 1 w and w^2 are cube root of unity , prove that (3+3w+5w^2)^6-(3+w+2w^2)^3=0 if 1 w and w^2 are cube root of unity , prove that (3+3w+5w^2)^6-(3+w+2w^2)^3=0
#Basic #Math ... 1 + w + w² = 0 | PROOF #Basic #Math ... 1 + w + w² = 0 | PROOF
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BCS-012 Assignment 2024-25 Q7 | Cube Roots of Unity | Show (1 + w)² – (1 + w)³ + w² = 0 BCS-012 Assignment 2024-25 Q7 | Cube Roots of Unity | Show (1 + w)² – (1 + w)³ + w² = 0
2.a) If α= 1/2 (–1+ √–3) and β= 1/2 (–1– √–3), show that α⁴ + α²β² + β⁴ = 0 Cube root of Unity. NEB 2.a) If α= 1/2 (–1+ √–3) and β= 1/2 (–1– √–3), show that α⁴ + α²β² + β⁴ = 0 Cube root of Unity. NEB
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