If (1+x+x^(2))^(n)=a(0)+a(1)+x+a(2)x^(2)...

If `(1+x+x^(2))^(n)=a_(0)+a_(1)+x+a_(2)x^(2)+...+a_(2n)x^(2n)`, show that `a_(0)+a_(3)+a_(6)+...=a_(1)+a_(4)+a_(7)+....+= a_(2)+a_(5)+a_(8)+...3^(n-1)`.

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