Learn to verify the trig identity by factoring difference two squares

The video tutorial explains how to simplify rational expressions by using Pythagorean identities and factoring techniques. It begins with an introduction to rational expressions and the goal of simplification. The instructor then demonstrates how to apply the Pythagorean identity to tangent squared, rewriting it in terms of secant squared. The tutorial continues with a focus on factoring expressions using the difference of squares, leading to simplification. The video concludes with verification of the solution and a reminder that understanding these steps may require practice.

What is the final expression obtained after factoring the given rational expression?

Explain how the difference of two squares can be used to factor the expression in the context of this problem.