Do not use Matlab please show me the steps how to solve it b

Do not use Matlab, please show me the steps how to solve it by hand

Find the answers to these questions: If x=4-3j and y=2 + 2j, find x*y. 14 + 2j If x=5+2j and y=-1+3j, find x/y -1.3 - 0.9j

Solution

1. If x = 4 - 3j, and y = 2 + 2j, find x * y.
Given x = 4 - 3j, and y = 2 + 2j
Note tha j * j = -1.
So,
x * y = (4 - 3j) * (2 + 2j)
= 4*2 + 4*2j - 3j * 2 - 3j * 2j
= 8 + 8j - 6j - 6j*j
= 8 + 2j - 6(-1)
= 8 + 2j + 6
= 14 + 2j.

2. Given x = 5 + 2j, and y = -1 + 3j, find x / y.
So,
x / y = (5 + 2j) / (-1 + 3j)
   = (5 + 2j) / (-1 + 3j) * (-1 - 3j) / (-1 - 3j)
   = ((5 + 2j) * (-1 - 3j)) / ((-1 + 3j) * (-1 - 3j))
   = (5*-1 - 5*3j + 2j*-1 - 2j*3j) / (-1*-1 - -1*3j + 3j*-1 - 3j*3j)
   = (-5 - 15j - 2j + 6) / (1 + 3j - 3j + 9)
   = (1 - 17j) / (10)
   = 1/10 - 17/10j = 0.1 - 1.7j

Your answer for the 2nd question seems to be wrong somewhere. Anyways, there are the answers with explanations for you.