XICOMQ050 _ If α and β are the imaginary cube roots of unity, show that α4 + β4 + α 1. β^(-1) = 0.

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PYQ 2022 : Complex Numbers : If α and β are imaginary cube roots of unity, then value of α⁴+β²⁸+1/αβ PYQ 2022 : Complex Numbers : If α and β are imaginary cube roots of unity, then value of α⁴+β²⁸+1/αβ
2.b) If α and β complex cube root of unity, prove that: α⁴ + β⁴ + α‐¹β-¹ = 0. α^4 +β^4 + α^-1 β^-1=0 2.b) If α and β complex cube root of unity, prove that: α⁴ + β⁴ + α‐¹β-¹ = 0. α^4 +β^4 + α^-1 β^-1=0
If A, B are imaginary cube roots of unity show that A^4 + B^4 + 1/(AB) = 0. If A, B are imaginary cube roots of unity show that A^4 + B^4 + 1/(AB) = 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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If α and β are imaginary cube roots of unity, then α^4+β^4+1/αβ is equal to If α and β are imaginary cube roots of unity, then α^4+β^4+1/αβ is equal to