\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(A = (X - 1)^2 (X + 1)\) and \(B = (X - 1)(X + 1)^2\) in \(\mathbb{R}[X]\). List all monic common divisors of \(A\) and \(B\), and verify that this list is exactly the set of monic divisors of \(A \wedge B\).
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