In the expansion of ` (1 + x) (1 + x+ x^(2)) …(1 + x + x^(2) +… +x^(2n))` , the sum of the coefficients is

Suppose the sum of the coefficients in the expansion of (1 - 5x + 12x^(3))^(n) is a and the sum of the coefficients in the expansion of (1 - 2x + 3x^(2))^n is b. If a = b^(m) , then m = ___

If the sum of the coefficients in the expansion of (1-4x+7x^(2))^(n) is "a" and the sum of the coefficients of (1+x+2x^(2))^(n) is "b" ,then find relation between a and b

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

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

Statement 1: The sum of coefficient in the expansion of (3^(-x/4)+3^(5x/4))^(n) is 2^(n) . Statement 2: The sum of coefficient in the expansion of (x+y)^(n)is2^(n) .

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