If A, B are imaginary cube roots of unity show that A^4 + B^4 + 1/(AB) = 0.

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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=02.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
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If α and β are imaginary cube roots of unity, then α^4+β^4+1/αβ is equal toIf α and β are imaginary cube roots of unity, then α^4+β^4+1/αβ is equal to
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If \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then find the value of \( \al...If \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then find the value of \( \al...