If \( 1, \alpha_{1}, \alpha_{2}, \alpha_{3}, \ldots, \alpha_{n-1} \) are \( n, n \)th roots of u...

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If `1,alpha_1, alpha_2, …alpha_(n-1)` be n, nth roots of unity show that `(1-alpha_1)(1-alpha_2). If `1,alpha_1, alpha_2, …alpha_(n-1)` be n, nth roots of unity show that `(1-alpha_1)(1-alpha_2).
If a be any complex root of 1 ^ (1/5) , prove that l + alpha + alpha ^ 2 + alpha ^ 3 + alpha ^ 4 = 0 If a be any complex root of 1 ^ (1/5) , prove that l + alpha + alpha ^ 2 + alpha ^ 3 + alpha ^ 4 = 0
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If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P= If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P=