What is the product of $3+2i$ and $1+7i$ ?

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Answer 1 · 2014-09-28T22:00:25

$( 3 +2i ) (1 + 7i)$

$3 (1 +7i) +2i ( 1+ 7i)$

Using distributive property ;

$3 x 1 + 3 * 7i + 2i * 1 + 2i * 7i$

$3 + 21 i +2 i + 14 i^2$

$i^2 = -1$

$3 + 23 i + 14 (-1)$

$3 + 23i -14$

$23 i -11$ or $-11 + 23i$

What is the product of 3+2i3+2i and 1+7i1+7i?