How do you simplify #(2+3i)(-3-7i)#?

1 Answer
Alan P.
Feb 7, 2016

#15-23i#

Explanation:

#color(blue)("("2+3i)")")color(red)("("-3-7i"))#

#color(white)("XXX")=color(blue)(2)color(red)("("-3-7i")")+color(blue)(3i)color(red)("("-3-7i"))#

#color(white)("XXX")=color(brown)(-6-14i)+color(green)(-9i-21i^2#

#color(white)("XXX")=color(brown)(-6-14i)+color(green)(-9i+21#

#color(white)("XXX")=15-23i#

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