Number OF integral term || Coefficient OF x^n || Express binomial term in odd & even term || Use OF r1, r2 to find coefficient

Summation OF Series in which Equation OF n Terms || Product OF two Binomial coefficients

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n), the sum of the binomial coefficients is 256and four xx the term withgreatest binomial coefficient exceeds the square of the third coefficient then find 4x.

Sum of binomial coefficients odd binomial coefficients even binomial coefficients

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n) the sum of the binomial coefficients is 256 and four xx the term with greatest binomial coefficient exceeds the square of the third coefficient then find 4x.

In the expansion of (x+y)^(n) ,if the binomial coefficient of the third term is greater by 9 then that of the second term,then the sum of the binomial coefficients of the terms occupying to odd places is

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)

Coefficient of the middle term in the expansion of the binomial (1+x)^(40) is equal to

In the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)isn (d)coefficient of x^(2) in n

Number of terms in the binomial expression of (x+a)^(n) is