Simplify rational expression by factoring out a GCF

The video tutorial explains how to simplify rational expressions by factoring out the greatest common factor (GCF). It covers four examples, demonstrating the process of factoring and simplifying, and emphasizes the importance of understanding the difference quotient. The tutorial also highlights the need to apply constraints to ensure the denominator does not equal zero. Each example illustrates different aspects of factoring, such as identifying common factors, using exponents, and handling complex expressions.

Describe the process of factoring out the GCF from a rational expression.

What happens when terms in the numerator and denominator are not separated by multiplication?

In the final example, what is the significance of the highest power when factoring?