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

Solution:

Given expression is

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

The dot product is an operation that takes two vectors as input, and that returns a scalar number as output.

It is the sum of the products of corresponding individual terms

(-3)(2) + (2)(1) = -6 + 2 = -4

Therefore, the simplified form of (-3 + 2i).(2 + i) is -4.

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

Summary:

The given expression (-3 + 2i).(2 + i) is simplified as -4.