\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
  1. Express \(z^3 + 3^3\) in the form \(z^3 - a^3\), where \(a\) is a real number.
  2. Deduce a factorization of \(z^3 + 3^3\).

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