If `x^p` occurs in the expansion of `(x^2+1//x)^(2n)` , prove that its coefficient is `((2n)!)/([1/3(4n-p)]![1/3(2n+p)]!)` .

If x^(m) occurs in the expansion (x+1/x^(2))^(n) , then the coefficient of x^(m) is ((2n)!)/((m)!(2n-m)!) b.((2n)!3!3!)/((2n-m)!) c.((2n-m)/(3))!((4n+m)/(3))! none of these

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

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

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)