Find the sixth term in the expansion `(y^(1/2)+x^(1/3))^n` , if the binomial coefficient of the third term of the end is `45.`

Find the sixth term of the expansion (y^(1/2) +x^(1/3))^(n) , if the Binomial coefficient of the third term from the end is 45.

Find the sixth term of the expansion of (y^(1//2) + x^(1//3) )^(n) , if the binomial coefficient of the third term from the end is 45 .

Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the binomial coefficient of 3rd term from the end is 45.

Find the third term in the expansion of (1-2x)^(3//2)""dot

Find the sum of the coefficients of the first, second,and third terms of the expansion of (x^(2)+(1)/(x))^(m) is 46, then find the coefficient of the term that does not contain x.

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

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

In the expansion of (1+x)^n , coefficient of rth term from end is

If 'a' is the coefficient of the middle term in the expansion of (1 + x)^(2n) and b,c are the coefficients of two middle terms in the expansion of (1 + x)^(2n -1) then

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)