Which term in the expansion of `(x^3-3/x^2)^15` is independent of x?

The fourth term in the binomial expansion of (x^2 - (1)/(x^3) )^n is independent of x , when n is equal to

State true or false : In the expansion of (x^2/y+y^2/x)^15 there is no term independent of x and y both.

In the expansion of (x-(1)/(3x^(2)))^(9), the term independent of x is T_(3) b.T_(4) c.T_(5) d.none of these

In the expansion of (x^(2)-(1)/(3x))^9 ,the term independent of x is equal to

The term independent of x in the expansion of (x-3/x^(2))^(18) is

In the expansion of [2x^(2) – (1)/(x)]^(12) , the term independent of x is

Let the coefficients of third, fuurth and fifth terms in the expansion of (x+(a)/(x^(2)))^(n), x ne 0 be in the ratio 12:8:3. Then the term independent of x in the expansion, is equal to _______.