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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If 1,ω1, \omega and ω2\omega^2 are the cube roots of unity, then the value of (1+ω)3−(1+ω2)3(1+\omega)^3-\left(1+\omega^2\right)^3 is
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Correct option: D
0
Option D (0) is correct because using the property 1 + ω = -ω² and 1 + ω² = -ω, the expression simplifies to 0.

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