Answer: C. 22/5 + 9i/5
Step-by-step explanation:
8-7i/1-2i divided by 1+2i/1+2i
combine: (8-7i)(1+2i)/1-2i)(1+2i)
simplify the numerator
Use foil method
8 times 1+8(2i)-7i times 1 -7i(2i) divided by (1-2i)(1+2i)
Combine like terms
22+9i divided by (1-2i)(1+2i)
simplify denominator
22+9i/5
Split fraction into two fractions
22/5 +9i/5
