1.c) (1–ω+ω²)⁴ (1+ω–ω²)⁴ =256. If ω be cube root unity, show that (1–w+w²)⁴ (1+w–w²)⁴ = 256 Class 12

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1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0 1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0
Prove that (1+w-w²)(1-w+w²)=4 ।। Complex analysis ।। Prove that (1+w-w²)(1-w+w²)=4 ।। Complex analysis ।।
1.b)(2+ω+ω²)³+(1+ω–ω²)⁸ –(1–3ω+ω²)⁴=1. If ω be cube root unity show (2+w+w²)³+(1+w–w²)⁸–(1–3w+w²)⁴=1 1.b)(2+ω+ω²)³+(1+ω–ω²)⁸ –(1–3ω+ω²)⁴=1. If ω be cube root unity show (2+w+w²)³+(1+w–w²)⁸–(1–3w+w²)⁴=1
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
1.d) (1–ω)(1–ω²)(1–ω⁴)(1–ω⁸) = 9 If ω be complex cube root unity show that (1–w)(1–w²)(1–w⁴)(1–w⁸)=9 1.d) (1–ω)(1–ω²)(1–ω⁴)(1–ω⁸) = 9 If ω be complex cube root unity show that (1–w)(1–w²)(1–w⁴)(1–w⁸)=9
Properties of cube root of unity #pi2infinity #shorts #youtubeshorts #virulshortvideo Properties of cube root of unity #pi2infinity #shorts #youtubeshorts #virulshortvideo
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