\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
  1. Decompose \(R = \dfrac{1}{X^2 + 1}\) over \(\mathbb{C}\) as a sum of simple elements.
  2. Group the two conjugate-pole terms to recover the real form \(R = \dfrac{1}{X^2 + 1}\).

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.