Question

What is the product of these complex numbers (3-4i)(1-i)?

Answer 1

- 1 - 7i

Explanation:

note that i² = - 1

given

(3 - 4i)(1 - i) ← expand using FOIL

= 3 - 3i - 4i + 4i²

= 3 - 7i + 4(- 1)

= 3 - 7i - 4

= - 1 - 7i