[+x^(2008)+x^(2000))^(2010)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(n)x^(n)," if "a_(0)-(1)/(2)a_(1)-(1)/(2)a_(2)+a_(3)-(1)/(2)a_(4)-(1)/(2)a_(3)+a_(6)-],[" then "k" is "]

(3+x^(2008)+x^(2009))^(2010)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(n)x^(n) then the value of a_(0)-(1)/(2)a_(1)-(1)/(2)a_(2)+a_(3)-(1)/(2)a_(4)-(1)/(2)a_(5)+a_(6)-... is 3^(2010) b.1 c.2^(2010)d ,none of these

If (1-x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)++a_(2n)x^(2n) find the value of a_(0)+a_(2)+a_(4)++a_(2n)

(1+x+x^(2))^(25)=a_(0)+a_(1)x+a_(2)x^(2)+....+a_(50)*x^(50) then a_(0)+a_(2)+a_(4)+...+a_(50) is :

If (1+x+x^(2))^(25)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50).x^(50) , then a_(0)+a_(2)+a_(4)+....+a_(50) is

( 1 + x + x^(2))^(n) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(2n) x^(2n) , then a_(0) + a_(1) + a_(2) + a_(3) - a_(4) + … a_(2n) = .

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(2n)x^(2n) , then prove that a_(1)+a_(3)+a_(5)+….+a_(2n-1)=(3^(n)-1)/(2)

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(2n)x^(2n) , then prove that a_(0)+a_(2)+a_(4)+……+a_(2n)=(3^(n)+1)/(2)

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+...a_(2n)x^(2n), then sqrt(a_(0))+sqrt(a_(1))+sqrt(a_(2))+...+sqrt(a_(2n)) is