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

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)

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 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) .

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

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

If m and n are positive integers, then prove that the coefficients of x^(m) " and " x^(n) are equal in the expansion of (1+x)^(m+n)

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