If ω is cube root of unity and if n = 3k + 2 then the value of ω2 + ω2n is-....

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15.23 | Complex Numbers | Cube Roots Of Unity15.23 | Complex Numbers | Cube Roots Of Unity
If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then \(...If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then \(...
If `1,omega,omega^(2),...omega^(n-1)` are n, nth roots of unity, find the value of `(9-omega)If `1,omega,omega^(2),...omega^(n-1)` are n, nth roots of unity, find the value of `(9-omega)
\\(\\text{if }\\omega\\text{ is non real cube root of unity then}\\)\n1+2ω+3ω22+3&om....\\(\\text{if }\\omega\\text{ is non real cube root of unity then}\\)\n1+2ω+3ω22+3&om....
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The value of the expression `1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-o...The value of the expression `1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-o...
If, omega,omega^2 be the imaginary cube roots of unity, then prove that `(2-omega)(2-If, omega,omega^2 be the imaginary cube roots of unity, then prove that `(2-omega)(2-
If \( \omega \) is the cube root of unity, then \( \left|\begin{arr...If \( \omega \) is the cube root of unity, then \( \left|\begin{arr...