Complex Addition/Examples/(2 + 3i) + (4 - 5i)/Proof 1

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Example of Complex Addition

$\paren {2 + 3 i} + \paren {4 - 5 i} = 6 - 2 i$


Proof

\(\ds \paren {2 + 3 i} + \paren {4 - 5 i}\) \(=\) \(\ds \paren {2 + 4} + \paren {3 - 5} i\) Definition of Complex Addition
\(\ds \) \(=\) \(\ds 6 - 2 i\)

$\blacksquare$


Sources