Simplify the given expression below: (-5 + 3i).(1 - 2i)

Solution:

Given expression is

(-5 + 3i).(1 - 2i)

The dot product of two complex numbers can be calculated as follows:

(a+ bi). (c+di) = ac +bd

= (-5 + 3i).(1 - 2i)

= (-5)(1) + 3(-2)

= -5 - 6

= -11

Therefore, the simplified expression is -11

Simplify the given expression below: (-5 + 3i).(1 - 2i)

Summary:

The given expression below: (-5 + 3i).(1 - 2i) is simplified as -11.