In the expansion of `[(1+x)//(1-x)]^2,` the coefficient of `x^n` will be `4n` b. `4n-3` c. `4n+1` d. none of these

In the expansion of 2 log_(n) x- log_(n) (x+1) - log_(e)(x-1), the coefficient of x^(-4) 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}

If sum of the coefficients in the expansion of (x+1/x)^(n) is 128, then coefficient of x in the expansion of (x+1/x)^(n) is

If in the expansion f (1+x)^m(1-x)^n, the coefficient of x and x^2 are 3 and -6 respectively then (A) m=9 (B) n=12 (C) m=12 (D) n=9

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

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

Middle term in the expansion of (1+x)^(4n) is (AA n in N)