How do you simplify $(1+i)(3+2i)$ ?

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Answer 1 · 2016-07-06T17:43:33

$1+5i$

$color(blue)((1+i))color(brown)((3+2i))$

$color(brown)(color(blue)(1)(3+2i)" "color(blue)(+i)(3+2i))$

$3+2i" "+" "3i+2i^2$

But $i^2=-1 =>2i^2=-2$

$3+5i-2" "=" "1+5i$

How do you simplify (1+i)(3+2i)(1+i)(3+2i)?