Answer
Sum = 22 + 5i
Difference = -14 - 19i
Step-by-step explanation
Add: (4 - 7i) + (18 + 12i)
Remove the brackets
4 - 7i + 18 + 12i
Grouping the terms, we have
4 + 18 - 7i + 12i
22 + 5i
∴ Sum = 22 + 5i
Subtract: (4 - 7i) - (18 + 12i)
Remove the brackets
4 - 7i - 18 - 12i
Grouping the terms
4 - 18 - 7i - 12i
-14 - 19i
∴ Difference = -14 - 19i