Does the expansion of `(2x^2-1/x)^(20)` contain any term involving `x^9?`

Show that the expansion of (x^2+1/x)^12 does not contain any term involving x^(-1)dot

Show that the expansion of (x^(2)+(1)/(x))^(1) does not contain any term involving x^(-1)

Determine whether the expansion of (x^2 - 2/x)^18 will contain a term containing x^10 ?

Determine whether the expansion of (x^2+2/x)^18 will contain a term containing x^10

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

If the expansion of (x-1/(x^(2)))^(2n) contains a term independent of x , then n is a multiple of 2 .

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

Consider the expansion of (3x^3+2/x^2)^40 Assuming the term containing x^20 as the (r+1)^(th) term, find the coefficient of x^20 in the expansion of (3x^3+2/x^2)^40