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In the expansion of (x^2+2x+2)^n, n in N...

In the expansion of `(x^2+2x+2)^n, n in N`
(A) coefficient of `x=n.2^n`
(B) coefficient of `x^2=n^2 2^(n-1)`
(C) coefficient of `x^3=n^2 2^(n-2)`
(D) none of these

A

`x` is `n.2^(n)`

B

`x^(2)` is `n^(2).2^(n-1)`

C

`x^(3)` is `.^(n+1)C_(3)2^(n)`

D

`x^(3)` is `.^(n+1)C_(2)2^(n+3)`

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