For i=sqrt(-1)i=1 is the sum of (7+3i) + (-8+9i)(7+3i)+(8+9i)?

1 Answer
Jun 8, 2016

12i-112i1

Explanation:

7+3i +(-8+9i)7+3i+(8+9i)

First, open up the bracket:

=7+3i -8+9i=7+3i8+9i

Next, combine the numbers and ii terms:

=color(red)7color(blue)(+3i) color(red)(-8)color(blue)(+9i)=7+3i8+9i

=color(red)(7-8)+color(blue)(3i+9i)=78+3i+9i

=color(red)(-1)+color(blue)(12i)=1+12i

=12i-1=12i1