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)

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

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) .

Find the coefficient of x^(n) in the expansion of (1+x)(1+x)^(n).

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

Show that the coefficient of x^(r) in the expansion of (x+(1)/(x))^(n) is