Question

Hi, I need help with home to study for test. Thank you

Answer 1

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