Expand `(x^(2) + 2y)^(5)` using binomial expansion.

Explanation

To expand the expression \((x^2 + 2y)^5\) using the binomial theorem, we will follow these steps:

### Step 1: Identify the components
In the binomial expansion, we have:
- \(a = x^2\)
- \(b = 2y\)
- \(n = 5\)

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