Simplify Trig Expressions by Factoring ex 2

The video tutorial explains the concept of the difference of two squares, a method used in algebra to factor expressions. It highlights the importance of recognizing patterns in expressions that fit the difference of two squares formula, a^2 - b^2 = (a - b)(a + b). The tutorial further demonstrates how to apply this method using trigonometric identities, specifically with tangent and secant functions, to simplify expressions efficiently.

Discuss the importance of the pattern a^2 - b^2 in mathematical problem-solving.

What is the factored form of the expression a^2 - b^2 when a and b are defined as tangent and secant?