Rewriting a rational expression using distributive property

The video tutorial explains how to simplify expressions using the distributive property. It begins by introducing the concept of simplification and the third property. The instructor then demonstrates how to rewrite expressions using the distributive property, highlighting the equivalence between division and multiplication. The tutorial further explores applying the distributive property to expressions and emphasizes the importance of understanding different representations in mathematics.

Why is it important to understand different representations of mathematical problems?

What does the teacher mean by saying that this representation will become useful in later mathematics?