Find the coefficient of `x^6y^3`in the expansion of `(x+2y)^9`.

Explanation

To find the coefficient of \(x^6y^3\) in the expansion of \((x + 2y)^9\), we can follow these steps:

### Step 1: Identify the general term in the binomial expansion
The general term \(T_{r+1}\) in the expansion of \((x + a)^n\) is given by:
\[ T_{r+1} = \binom{n}{r} x^{n-r} a^r \]
In our case, \(n = 9\) and \(a = 2y\). Therefore, the general term becomes:
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