How to write the quotient of complex numbers in standard form

The video tutorial explains how to write a quotient of complex numbers in standard form. It begins by introducing the concept and the need to eliminate the denominator using its conjugate. The tutorial then demonstrates the multiplication of conjugates, highlighting the cancellation of middle terms. It proceeds to simplify the expression by combining like terms and applying algebraic rules, ultimately deriving the final solution in standard form.

What happens to the middle terms when multiplying conjugates?

What is the final result when dividing the simplified expression of complex numbers?