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If 1,w,w^2,......w^n-1 are nth roots of unity , then (1-w)(1-w^2).......(1-w^n-1) is equal to
Dear Sunny Put x=1 on both the sides nowAns =3 – 1 =0So I can write3Basically 1,a1,a2......an-1 all these are the roots of this equation x regardsArun(askIITians forum expert)
Let n=4 , then1,w,w² are the complex root of unity So (1-w)(1-w²)= 1-w-w²-w³Now as we know that w³= 1 So in equation 1-w-w²-1= -w²-w = 1
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