If the sum of the coefficients in the expansion of `(alpha^(2)x^(2)-2 alpha x+1)^(51)` vanishes, then find the value of `alpha`.

The sum of the coefficients in the expansion of (1+2x-x^2)^(20) is

If the sum of the coefficients in the expansions of (a^(2)x^(2)-2ax+1)^(51) is zero, then a is equal to a)0 b)1 c)-1 d)-2

Find the coefficient of x^4 in the expansion of (1-x^2)^n

Find the coefficient of x^11 in the expansion of (x-2/x^2)^17

The sum of the coefficient in the binomial expansion of ((1)/(x) + 2x) ^(6) is equal to

If the sum of coefficients in the expansion of (x-2y+3z)^(n) is 128, then find the greatest coefficientin the expansion of (1+x)^(n)

If the equations 2x^(2)+alpha x + alpha= 0 and x^(2)+2x+2 alpha= 0 have a common root, then find the real values of alpha .