QJEEAdv78Ma5a42: JEE Advanced 1978 Mathematics - Class 11 JEEAdv78Ma5a42 Solution: If x = a + b, y = a + b and z = a +b where and are the complex…

Question

Verified Solution • 2025–26 Session moderate

If x = a + b, y = a

\gamma

+ b

\beta

and z = a

\beta

+b

\gamma

where

\gamma

and

\beta

are the complex cube roots of unity, show that xyz =

{a^3} + {b^3}

.

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