Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Add complex numbers in standard form by combining real parts and imaginary parts
Problem
Add \((3+4i)+(5+2i)\) by combining real parts \(3+5\) and imaginary coefficients \(4+2\). Write the sum in standard complex form.
Big Picture
What this problem is really about
Complex addition is componentwise: real parts combine with real parts and imaginary coefficients combine with imaginary coefficients. We’ll regroup the two component types, add each pair independently, keep the factor i on the second result, and write the sum in standard form.
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