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

Explanation

To determine whether the expansion of \((2x^2 - \frac{1}{x})^{20}\) contains any term involving \(x^9\), we can follow these steps:

### Step 1: Identify the General Term
The general term \(T_{r+1}\) in the binomial expansion of \((a + b)^n\) is given by:
\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
In our case, \(a = 2x^2\), \(b = -\frac{1}{x}\), and \(n = 20\). Therefore, the general term becomes:
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