Complex Addition/Examples/(-7 - i) + (3 + 2i)

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Example of Complex Addition

$\paren {-7 - i} + \paren {3 + 2 i} = -4 + i$


Proof

\(\ds \paren {-7 - i} + \paren {3 + 2 i}\) \(=\) \(\ds \paren {\paren {-7} + 3} + \paren {\paren {-1} + 2} i\) Definition of Complex Addition
\(\ds \) \(=\) \(\ds -4 + i\)

$\blacksquare$


Sources