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Algebra

if a1,a2,a3....a(n-1) are nth roots of unity. find the value of (2-a1)(2-a2)(2-a3)....(2-a(n-1))??? i m stuck at the step (x-a1)(x-a2)....(x-a(n-1))=x^n-1 tell me reason for this.

Profile image of vishal tomer
15 Years agoGrade
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2 Answers

Profile image of akash nagpal
15 Years ago

just put x=2 and get the answer

Profile image of vishal tomer
15 Years ago

i want to know reason for

(x-a1)(x-a2)....(x-a(n-1))=x^n-1                   .

not what to do after this.