Answer:
39 - 80i
Step-by-step explanation:
(8 - 5i)²
= (8 - 5i)(8 - 5i) (expand using FOIL. See attached for reference)
= (8)(8) + (8)(-5i) + (-5i)(8) + (-5i)(-5i)
= 64 - 40i - 40i + 25i²
= 64 - 80i + 25i² (recall that i² = -1)
= 64 - 80i + 25(-1)
= 64 - 80i - 25
= 39 - 80i
