Answer:
(-8+i )
Explanation:
We'll multiply these 2 binomials like any other pair of binomials: using the FOIL method.
(-3+2i)•(2+i) after being FOILed is:
(-3•2)+(-3•i)+(2i•2)+(2i•i)
this equation simplified equals
-6-3i+4i+2i²
Whenever we see i², we should know that is equals -1, so our equation rewritten again is
-6-3i+4i+(2•-1)
Simplifying that, we get
-6-3i+4i+-2
From here, we just continue to simplify by subtracting 2 from −
6.
−8−3i+4i
Finally, add −3i and 4i to get our answer of
−8+i