Tutorial - Dividing complex numbers ex 21, (i + 2)/(i - 2)

The video tutorial addresses common mistakes students make when dividing complex numbers, particularly the incorrect cancellation of terms. It explains the necessity of using conjugates to properly divide complex numbers and introduces special algebraic products like binomial squares and the difference of squares. The tutorial concludes with a step-by-step simplification of a complex fraction, demonstrating how to express the result in the form A+BI.

How do you rewrite the expression after applying the product of the conjugate?

What is the final form of the complex number after simplification, and how is it expressed?