Binomial expansion of `(x+1)^6`

The sum of the coefficients in the binomial expansion of (1/x +2x)^6 is equal to :

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

The fourth term in the binomial expansion of (x^2 - (1)/(x^3) )^n is independent of x , when n is equal to

The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6) is equal to

Find the binomial expansion of (1+x)^(-2)

Coefficient of x^(2) in binomial expansion of (1-x)^(2) is

Coefficient of x^(2) in binomial expansion of (1-x)^(2) is

If the binomial expansion of (a +b x)^-2 is 1/4-3x+......., then (a, b) =

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