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#