if 1 ,w,w² are three cube root of unity show that (1-w+w²)⁷+(1+w-w²)⁷=128 | cube root of unity

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Class: 12 If w ≄ 1 is a cube root of unity, show that (i) (1-w+w²)⁶ + (1+w-w²)⁶ = 128Class: 12 If w ≄ 1 is a cube root of unity, show that (i) (1-w+w²)⁶ + (1+w-w²)⁶ = 128
If 1,w,w² are the cube roots of unity, then show that (2–w)(2–w²)(2–w¹⁰)(2–w¹¹) = 49 @EAGIf 1,w,w² are the cube roots of unity, then show that (2–w)(2–w²)(2–w¹⁰)(2–w¹¹) = 49 @EAG
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)=91.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.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=01.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
Solution of Determinant problem 2. cube roots unitySolution of Determinant problem 2. cube roots unity
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 121.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
If 1,w,w^(2) are the cube roots of unity then (1)/(1+w^2)+(2)/(1+w)-(3)/(w^2+w)= | CLASS 12 | CO...If 1,w,w^(2) are the cube roots of unity then (1)/(1+w^2)+(2)/(1+w)-(3)/(w^2+w)= | CLASS 12 | CO...
If 1, w, w² are the cube roots of unity, then find the value of (1 – w + w²)³ @EAGIf 1, w, w² are the cube roots of unity, then find the value of (1 – w + w²)³ @EAG