Dividing two rational expressions

The video tutorial explains how to handle division of fractions by using reciprocal multiplication. It demonstrates the simplification of a complex algebraic expression, focusing on factoring and cancelling terms. The instructor emphasizes the importance of rewriting expressions and factoring out negative ones to simplify further. The session concludes with a review of the steps involved in simplifying fractions divided by fractions.

Describe the process the teacher uses to cancel terms in the expression.

What is the final simplified version of the expression discussed in the lesson?