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

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

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

Find the sum of all the coefficients in the binomial expansion of (x^2+x-3)^(319)dot

Find the coefficient of x^(8) in the expansion of (1-2x)^(- 1/2) .

If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax + 11)^(10) , where a is constant, is 1024, then the value of a 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

If the sum of the coefficients in the expansion of (q+r)^(20)(1+(p-2)x)^(20) is equal to square of the sum of the coefficients in the expansion of [2rqx-(r+q)*y]^(10) , where p , r , q are positive constants, then

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

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^(3) + 1/2)^(200) is