Mastering the Difference of Two Squares Factoring Method

The Organic Chemistry Tutor

This comprehensive math tutorial provides a deep dive into factoring algebraic expressions using the "Difference of Two Squares" method. The video begins by introducing the fundamental formula A² - B² = (A + B)(A - B) and demonstrates how to apply it to simple quadratic expressions. It systematically builds complexity, moving from basic variables to expressions involving coefficients, multiple variables, and higher-degree exponents. The content explores several critical variations of the standard problem type. Key themes include identifying perfect squares, the necessity of factoring out a Greatest Common Factor (GCF) before applying the difference of two squares formula, and handling "repeated factoring" where the result of one step can be factored further. The video also covers advanced scenarios involving binomial expressions treated as single units and expressions containing fractions. For educators, this video serves as an excellent resource for scaffolding instruction in Algebra 1 or 2. It offers a clear procedural breakdown that allows students to master the mechanics of factoring. The progression from simple to complex examples makes it versatile; teachers can assign specific segments for remediation or use the later, more challenging problems for extension activities with advanced learners.