How to Factor Binomials Using GCF, Squares, and Cubes

The Organic Chemistry Tutor

This instructional math video provides a comprehensive tutorial on factoring binomials, covering four essential algebraic techniques. The lesson progresses systematically from the foundational concept of identifying the Greatest Common Factor (GCF) to more advanced methods including the Difference of Squares, Difference of Cubes, and Sum of Cubes. The narrator uses a digital blackboard format to write out problems and solve them step-by-step in real-time, allowing viewers to follow the logical flow of algebraic manipulation. The video explores a wide variety of examples that increase in complexity. It begins with simple expressions requiring only GCF extraction, moves to quadratic binomials solvable via the difference of squares formula, and addresses problems that require multiple steps (factoring out a GCF before applying a formula). The final segment introduces and applies the specific formulas for factoring the sum and difference of perfect cubes, including examples with coefficients and higher-degree variables. For educators and students, this video serves as an excellent resource for Algebra I and Algebra II curricula. It reinforces procedural fluency by demonstrating the application of formulas and checking work. The clear, isolated examples make it easy to pause for student practice, while the inclusion of "trickier" problems—like those with higher exponents or leading coefficients—helps prevent common student errors and builds confidence in handling complex polynomials.