If `(1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x^(2n),` find the value of `a_0+a_3+a_6++ ,n in Ndot`

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+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......a_(2)nx^(2n) Find the value of a_(0)+a_(3)+a_(6)+......;!=psi lon N

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)

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)-a_(1)+a_(2)-a_(3)......+a_(2n) ,

Given that (1+x+x^2)^n=a_0+a_1x+a_2x^2+.....+a_(2n)x^(2n) find i) a_0 + a_1 +a_2 .. . . .+ a_(2n) ii) a_0 - a_1 + a_2 - a_3 . . . . + a_(2n) iii) (a_0)^2 - (a_1)^2 . . . . .+ (a_(2n))^2

If (1+x)^n = a_0+a_1x+a_2x^2+......+a_nx^n , find the sum a_0+a_4 + a_8 + a_12 + ….. .

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+.......+a_(2n)x^(2n) find the value a_(0)+a_(1)+a_(2)+......+a_(2)n