If 1 , omega , omega^(2) are the cube r...

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

`a^(2)+b^(2)`

`3(a^(3)+b^(3))`

`a^(3)-b^(3)`

`a^(3)+b^(3)+3ab`

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1

(a-b)(aomega-bomega^(2))(aomega^(2)-bomega)
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(a+2b)^(2)+(aomega+2bomega^(2))^(2)+(aomega^(2)+2bomega)^(2)
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If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...
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If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then xyz
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If a, b are real and x=a+b,y=aomega^(2)+bomega,z=aomega+bomega^(2)" th...
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(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...
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If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...
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(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….....
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If omega is a complex cube root of unity then omega^((1/3+2/9+4/27+......
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(a+bomega+comega^(2))/(c+aomega+bomega^(2))
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(1)/(1+2omega)-(1)/(1+omega)+(1)/(2+omega)
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If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(...
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If 1,omega,omega^(2) are the cube roots of unity and alpha=omega+2omeg...
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If alpha, beta are the roots of 1 + x + x^(2)= 0, then the value of al...
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If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...
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If the cube roots of unity are 1,omega,omega^(2) then the roots of the...
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If alpha, beta are the non-real cube roots of 2, then alpha^(6)+beta^...
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If alpha is a non-real root of x^(6)-1=0 then (alpha^(5)+alpha^(3)+alp...
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If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...
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If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity then (1...
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