Algebra 2 - How to multiply two complex numbers using special products, (5 - 3i)(5 + 3i)

The video tutorial explains how to identify and simplify expressions using special products, specifically focusing on the difference of two squares. The instructor introduces shortcuts like the FOIL and box methods, emphasizing that when multiplying expressions with one sum and one difference, the middle terms cancel out, resulting in a difference of squares. The tutorial concludes with a demonstration of simplifying an expression to find a real answer.

What is the result of multiplying the first two terms and the last two terms in the given example?

Why is it important to understand the concept of special products in algebra?