AP EAMCET · Maths · Complex Number
Let \(1, \omega\) and \(\omega^2\) be the cube roots of unity. What is the value of \(\left(1-\omega+\omega^{-1}\right)^5-2\left(1+\omega-\omega^{-1}\right)^4=\) ?
- A \(-64 \omega\)
- B \(64 \omega\)
- C \(-64 \omega^{-1}\)
- D \(64 \omega^{-1}\)
Answer & Solution
Correct Answer
(C) \(-64 \omega^{-1}\)
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