Show that `2^(4n+4) -15n-16`, where `n in N` is divisible by `225.`

Explanation

To show that \( 2^{4n+4} - 15n - 16 \) is divisible by \( 225 \) for \( n \in \mathbb{N} \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ 2^{4n+4} - 15n - 16 \]
We can factor out \( 2^4 \):
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