Given that \( 1, \omega, \omega^{2} \) are cube roots of unity, show that \[ \left(1-\omega+\ome...

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Given that \( 1, \omega, \omega^{2} \) are cube roots of unity, show that \[ \left(1-\omega+\ome... Given that \( 1, \omega, \omega^{2} \) are cube roots of unity, show that \[ \left(1-\omega+\ome...
If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that \( (1-\omega)\left(1-... If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that \( (1-\omega)\left(1-...
If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that \( (1+\omega)\left(1+... If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that \( (1+\omega)\left(1+...
If \( 1, \omega, \omega^{2} \) are the three cube roots of unity, prove \[ (1-\omega)\left(1-\om... If \( 1, \omega, \omega^{2} \) are the three cube roots of unity, prove \[ (1-\omega)\left(1-\om...
Class: 12 If w ≄ 1 is a cube root of unity, show that (i) (1-w+w²)⁶ + (1+w-w²)⁶ = 128 Class: 12 If w ≄ 1 is a cube root of unity, show that (i) (1-w+w²)⁶ + (1+w-w²)⁶ = 128
If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh... If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh...
If `omega` be an imaginary cube root of unity, show that `(1+omega-omega^2)(1-omega+omega^2)=... If `omega` be an imaginary cube root of unity, show that `(1+omega-omega^2)(1-omega+omega^2)=...
If \( \omega \) is an imaginary cube root of unity, then \( \left(1+\omega-\omega^{2}\right)^{7}... If \( \omega \) is an imaginary cube root of unity, then \( \left(1+\omega-\omega^{2}\right)^{7}...