4.iii show that: x³ + y³ + z³ = 3(a³ + b³) If x=a+b, y=aω+bω², z=aω²+bω. complex cube root unity NEB

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4.i) show that: x + y + z = 0 If x=a+b, y=aω+bω², z=aω²+bω. complex cube root of unity Class 12 NEB 4.i) show that: x + y + z = 0 If x=a+b, y=aω+bω², z=aω²+bω. complex cube root of unity Class 12 NEB
1.e) (a+bω+cω²)/(aω+bω²+c) + (a+bω+cω²)/(aω²+b+cω) = –1 If ω be complex cube root unity show that : 1.e) (a+bω+cω²)/(aω+bω²+c) + (a+bω+cω²)/(aω²+b+cω) = –1 If ω be complex cube root unity show that :
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