\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that \(\deg(R + S)\) can be strictly less than \(\max(\deg R, \deg S)\) by computing the degrees of \(R = \dfrac{X^2}{X - 1}\), \(S = -\dfrac{X^2}{X - 1} + \dfrac{1}{X - 1}\) and \(R + S\).
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