Let z 3 2i and w 6 5i Compute the following and express y

Let

z = 3 + 2i

and

w = 6 5i.

Compute the following and express your answer in

a + bi

form.

z · w

Solution

z = 3 + 2i

and

w = 6 5i

a) z*w = ( 3 +2i)( 6 -5i)

= 18 - 15i +12i +10

= -3i +28

a+bi: a= 28 and b = -3