How do you simplify $( 5+2i) + (8-3i)$ ?

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Answer 1 · 2015-11-29T18:09:55

$13-i$

You can simply sum the real and the complex part:

$(color(green)(5) + color(blue)(2i)) + (color(green)(8) - color(blue)(3i))= color(green)(5+8) + color(blue)((2-3)i)$

And so the result is simply $13-i$

How do you simplify ( 5+2i) + (8-3i)( 5+2i) + (8-3i)?