Simplify Rational Expression by understanding the division property

The video tutorial focuses on simplifying expressions by factoring the numerator and denominator. It explains that simplification is possible when identical terms are present in both the numerator and denominator, provided they are separated by multiplication. The tutorial also identifies values that make the expression undefined, specifically when the denominator equals zero. The chapter does not cover identifying holes or asymptotes.

Describe the importance of having the same expression in both the numerator and denominator.

What does the teacher indicate about the factors after factoring the expression?