First, simplify the expression inside the parentheses: \((3-8)^2 + 2\).
Calculate \(3 - 8\): \[ 3 - 8 = -5 \]
Now, square \(-5\): \[ (-5)^2 = 25 \]
Add 2 to the result: \[ 25 + 2 = 27 \]
Next, simplify the denominator: \(9 - 6\).
Calculate \(9 - 6\): \[ 9 - 6 = 3 \]
Now, divide the simplified numerator by the simplified denominator: \[ \frac{27}{3} = 9 \]
The simplified expression is \(\boxed{9}\).
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