Answer:
38 + 37i
Step-by-step explanation:
(9 − 4i)(2 + 5i)
FOIL
first: 9*2 = 18
Outer: 9*5i = 45i
inner: -4i * 2 = -8i
last : -4i * 5i = -20i^2 = -20(-1) = 20
Combine together
18+45i-8i +20
38+37i
(9 − 4i)(2 + 5i)= 18+45i-8i-20i²= 18+20+37i= 38+37i
