Answer:
9 - 12i
Step-by-step explanation:
Noting that i² = - 1
Expand the factors on the numerator and denominator
(4 - 2i)(6 - 3i) = 24 - 12i - 12i + 6i² = 24 - 24i - 6 = 18 - 24i
(1 - i)(1 + i) = 1 + i - i - i² = 1 + 1 = 2
The division reduces to
[tex]\frac{18-24i}{2}[/tex]
= [tex]\frac{18}{2}[/tex] - [tex]\frac{24}{2}[/tex] i
= 9 - 121i
