Find the term independent of x in the expansion of `(x-(2)/(x^(2)))^(15)`

If the term independent of x in the expansion of (sqrtx +(k)/(x^(2)))^(10) is 405, then the values of k are-

Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10.

The term independent of x in the expansion of (x+(1)/(x))^(10) is -

Find the term independent of x in the expansion of (1+x)^(p)(1+(1)/(x))^(q),p,q being positive integers.

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

Determine the term independent of x in the expansion of (3x^2-1/(2x^3))^10 .

Find the term independent of x in the expansion, ((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10)

Examine whether or not there is any term independent of x in the expansion of (x-(3)/(x))^(7)

If the term independent of x in the expansion of ((k)/(3)x^(2)-(3)/(2x))^(9) be 2268 , find the value of k .

Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6