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(1-omega)(1-omega^(2))(1-omega^(4))(1-om...

`(1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))(1-omega^(7))(1-omega^(8))`

A

25

B

36

C

27

D

30

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(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….. to 2n factors

Arrange the following values in descending order A)(1+omega)(1+omega^2)(1+omega^4)(1+omega^8) B) (1-omega+omega^2)^7+(1+omega-omega^2)^7 C)(1-omega)(1-omega^2)(1-omega^4)(1-omega^8) D) (1-omega+omega^2)(1-omega^2+omega^4)

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. (2+omega^(2)+omega^(4))^(5)

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  2. (3+5omega+3omega^(2))^(6)

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  3. (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))(1-omega^(7))(1-omega^...

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  4. (1+omega)(1+omega^(2))(1+omega^4)(1+omega^(5))..........2n factors =

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  5. (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+...

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  6. (1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)

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  7. (1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)

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  8. If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))...

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  9. If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-...

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  10. (a-b)(aomega-bomega^(2))(aomega^(2)-bomega)

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  11. (a+2b)^(2)+(aomega+2bomega^(2))^(2)+(aomega^(2)+2bomega)^(2)

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  12. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

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  13. If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then xyz

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  14. If a, b are real and x=a+b,y=aomega^(2)+bomega,z=aomega+bomega^(2)" th...

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  15. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

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  16. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  17. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….....

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  18. If omega is a complex cube root of unity then omega^((1/3+2/9+4/27+......

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  19. (a+bomega+comega^(2))/(c+aomega+bomega^(2))

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  20. (1)/(1+2omega)-(1)/(1+omega)+(1)/(2+omega)

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