JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\omega

is a cube root of unity, then the value of

{\left( {1 - \omega + {\omega ^2}} \right)^5} + {\left( {1 + \omega - {\omega ^2}} \right)^5}

View answer and explanation

Correct option: B

Option B (32) is correct because using the properties of cube roots of unity (1 + ω + ω² = 0 and ω³ = 1), the expression simplifies to 32.

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