JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\omega

is a complex cube root of unity, then

\left(1-\omega+\omega^2\right)\left(1-\omega^2+\omega^4\right)\left(1-\omega^4+\omega^8\right)

\left(1-\omega^8+\omega^{16}\right)

is equal to

View answer and explanation

Correct option: C

Option C (16) is correct because by simplifying the expression using the properties of complex cube roots of unity, the result is 16.

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