Answer: 4 + 16i
Step-by-step explanation:
(2 + 2i)(5 + 3i)
= 2(5 + 3i) + 2i(5 + 3i) combine the two factors by multiplication
= 10 + 6i + 10i + 6i² distribute
= 10 + 6i + 10i + 6(-1) substitute -1 for i²
= 4 + 16i add like terms (6i + 10i)
