The coefficient of `x^(-n)` in `(1+x)^n (1+(1)/(x))^n` is

The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

If p and q are the coefficients of x^n in (1+x)^(2n-1) and (1+x)^(2n) respectively then 2p=

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

The coefficient of x^n in expansion of (1+x) (1-x)^n is

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)