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Given that (1+x+x^2)^n=a0+a1x+a2x^2+.......

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`

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