\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(A \vee B\) in \(\mathbb{R}[X]\) for \(A = X^2 - 1\) and \(B = X^2 + X\), given that \(A \wedge B = X + 1\).
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