In the expansion of `sqrt(3+ ax)` where `a != 0,` the coefficient of the term in `x^2` is 3 times the coefficient of the term in `x^3`. Find the value of a.

If in the expansion of (x^3-1/x^2)^n the sum of the coefficients of x^5 and x^10 is 0 , then the coefficient of :the third term

In the expansion of (x^(2) + (1)/(x) )^(n) , the coefficient of the fourth term is equal to the coefficient of the ninth term. Find n and the sixth term of the expansion.

In the expansion of (3x + 2)^4 , the coefficient of middle term is.....

If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be equal to the coefficient of (3r+2)th term . Find show these that , r = 7 .

Find the coefficient of the term involving x^2 in the expansion of (3x-1/x)^6 .

If coefficient of cubical expansion is x times coefficient of superficial expansion, then the value of x is

If in the expansion of ((3)/(r^(2))+kx^(3))^(5) ,the coefficient of the term independent of x is 1080 ,then value of k

If the coefficient of x^(2) " and "x^(3) are equal in the expansion of (3+ax)^(9) , then find the value of 'a'