Multiply expressions and simplify using trigonometric identities

The video tutorial covers the concept of the difference of two squares and the FOIL method for multiplying binomials. It explains how to simplify expressions using the Pythagorean identity and provides examples of applying the difference of squares. The tutorial also discusses distribution and binomial expansion, highlighting common mistakes and efficient methods for solving algebraic expressions.

Describe the process of expanding a binomial expression using the FOIL method.

What is a perfect square trinomial and how can it be identified in an expression?