In the expansion of `(x^2+2x+2)^n, nepsilonN` (A) coefficient of `x=n.2^n` (B) coefficient of x^2=n^2.2^(n-1)` (C) coefficient of `x^3=n^22^(n-2)` (D) none of these

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

In the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)isn (d)coefficient of x^(2) in n

In the expansion of (x^2+1+1/(x^2))^n ,n in N , (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)i sn (d)coefficient of x^2 in n

Coefficient of x^n in the expansion of (a+x)^(2n)

Coefficient of x^n in the expansion of (1+x)^(2n) is

Prove that in the expansion of (1+x)^(2n) , the coefficient of x^n is double the coefficient of x^n in the expansion of frac{(1+2x+x^2)^n}{1+x}

What is the coefficient of x^(n) in (x^(2) + 2x)^(n-1) ?

The coefficient of x^p in the expansion of (x^2+(1)/(x))^(2n) is

Prove that the coefficient of x^(n) in (1+x)^(2n) is twice the coefficient of x^(n) in (1+x)^(2n-1)