If x^3-1=0 has the nonreal complex roots , then the value of (1+2 + )^3-(3+3 +5 )^3 is

JEE Advanced Mathematics question

If has the nonreal complex roots then the value of is

Answer: (A)

The nonreal roots are with , . Take , :

1+2ω+ω^2=(1+ω+ω^2)+ω=ω,

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Question ID VK-108075