In the expansion of `(1 + x)^(50)` the sum of the coefficients of the odd power of x is

In the expansion of (1+x)^(70) , the sum of coefficients of odd powers of x is

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

Show that the coefficient of the middle term in the expansion of (1+x)^2n is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^2n-1

In the expansion of (2x + 3)^(5) the coefficient of x^(2) is:

In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients of x^5 and x^(10) is 0 then n is

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 .

If the sum of the coefficients of the first, second, and third terms of the expansion of (x^2+1/x)^m i s46 , then find the coefficient of the term that does not contain xdot