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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers2 Marks
MCQ
$\left(1-\omega+\omega^2\right)^5+\left(1+\omega-\omega^2\right)^5=$
  • A
    8
  • B
    16
  • ✓
    32
  • D
    48
✓

Answer

Correct option: C.
32
(C)
$\left(1-\omega+\omega^2\right)^5+\left(1+\omega-\omega^2\right)^5$
$=(-2 \omega)^5+\left(-2 \omega^2\right)^5$
$=-32 \omega^3 \omega^2-32 \omega^9 \omega$
$=-32\left(\omega^2+\omega\right)$
$=32$

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