[" 4) If "(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+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)

If (1+x+2x^(2)+4x^(3))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(30)x^(30) . Find the value of a_(0)-a_(1)+a_(2)-a_(3)…+a_(30)

If (1+x+x^(2))^(n) = a_(0)+a_(1) x+a_(2) x^(2)+.. .+a_(2 n) x^(2 n) then the value of a_(0)+a_(3)+a_(6)+.. . . is

If (1+x+x^(2))^(25)=a_(0)+a_(1)x+a_(2)x^(2)+……………..a_(50)x^(50) then the value of 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 the value of a_(0)+a_(2)+a_(4)+…………+a_(50) is

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x_(2)+............+a_(2n)x^(2n) then the value of a_(1)+a_(4)+a_(7)+.......

If (1+x+x^(2))^(n) = a_(0)+a_(1) x+a_(2) x^(2)+..+a_(2 n) x^(2 n) then the value of a_(1)+a_(4)+a_(7)+.. . . is

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x_(2)+............+a_(2n)x^(2n) then the value of a_(2)+a_(5)+a_(8)+.......

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)^(2)-a_(1)^(2)+a_(2)^(2)-a_(3)^(2)+....+a_(2n)^(2)