" If "1,alpha_(1),alpha_(2),alpha_(3),alpha_(4)" are the fifth roots of unity then "sum_(r=1)^(4)(1)/(2-alpha_(r))=

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the fifth roots of unity then sum_(i=1)^(4)(1)/(2-alpha_(i))=

if alpha_(1),alpha_(2),.... alpha_(8) are the 8 th roots of unity then:

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If alpha_(0),alpha_(1),alpha_(2)----alpha_(n-1) be the nth roots of unity then the value of sum_(r=0)^(n-1)(alpha_(r))/(3-alpha_(r)) is

If 1,alpha_(1),alpha_(2),...,alpha_(n-1) are n^( th) roots of unity then (1)/(1-alpha_(1))+(1)/(1-alpha_(2))+....+(1)/(1-alpha_(n-1))=

If 1,alpha,alpha^2,…,alpha^(n-1) are the n^(th) roots of unity show that sum_(r=1)^(n-1)r(alpha_r+alpha_(n-r))=-n .