if n is a positive integer, find the co-efficient of `x^n` in the expansion of `(3x-2)^n/(1-x)^2`

If n is a positive integer, find the coefficient of x^(-1) in the expansion of (1+x)^n(1+1/x)^ndot

If n is a positive integer,then the coefficient of x^(n) in the expansion of ((1+2x)^(n))/(1-x) is

If n is a positive integer,find the coefficient of x^(-1) in the expansion of (1+x)^(n)(1+(1)/(x))^(n)

If n is a positive integer then the coefficient of x ^(-1) in the expansion of (1+x) ^(n) (1+ (1)/(x)) ^(n) is-

If n is a positive integer and the coefficient of x^10 in the expansion of (1 + x)^15 is equal to the coefficient of x^5 in the expansion of (1-x)^(-n) then n =

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :