Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Simplify expressions with i and write the result in standard complex form
Problem
Simplify \(3+2i-5i\) by combining the imaginary coefficients \(2-5\) while preserving the real part, then write the result in \(a+\text{bi}\) form.
Big Picture
What this problem is really about
Real terms and imaginary terms form separate like-term groups. We’ll preserve the real component, combine only the coefficients attached to the imaginary unit, evaluate that signed coefficient, and place the two simplified parts in standard complex form.
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