Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Decide whether two complex expressions are equal by simplifying to a+bi
Problem
Are the complex expressions \(3+2i+i\) and \(3+3i\) equal?
Big Picture
What this problem is really about
Complex expressions are equal exactly when their simplified real parts and imaginary coefficients match. We’ll make the hidden coefficient on a lone imaginary unit explicit, combine like imaginary terms, retain the real part, and compare the two standard forms component by component.
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