Question

(4-2i).(6-3i) / (1-i).(1+i)

Answer 1

2i + 6

Explanation:

4-2 = 2

6-3 = 3

2 * 3 = 6

2i

Answer 2

9 - 12i

Explanation:

Noting that i² = - 1

Expand the factors on the numerator and denominator

(4 - 2i)(6 - 3i) = 24 - 12i - 12i + 6i² = 24 - 24i - 6 = 18 - 24i

(1 - i)(1 + i) = 1 + i - i - i² = 1 + 1 = 2

The division reduces to

`(18-24i)/(2)`

=
`(18)/(2)` -
`(24)/(2)` i

= 9 - 121i