Let \[ h(x) = \frac{3x^2 - 12x + 12}{x^2 - 4x + 4} \]
1. Factor and simplify the expression for \( h(x) \).
2. Determine the value(s) of \( x \) that make \( h(x) \) undefined. Let's think step by step and output the final answer within \boxed{}.
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