Chapter 10.3

Factoring Difference of Squares: Mastering x^2 - y^2

Unlock the power of factoring difference of squares expressions. Learn to simplify x^2 - y^2 with ease, enhancing your algebra prowess and problem-solving skills. Perfect for students aiming to excel in mathematics.

What You'll Learn

Recognize the difference of squares pattern: a² - b²
Apply the formula a² - b² = (a + b)(a - b) to factor expressions
Identify perfect squares in both coefficients and variables
Factor out common terms before applying the difference of squares formula
Use the difference of squares formula multiple times when needed

What You'll Practice

1

Factoring simple difference of squares like x² - 49

2

Factoring expressions with coefficients like 16 - 9x²

3

Factoring multi-variable expressions such as 100x² - 49y²

4

Removing common factors first, then applying difference of squares

5

Applying the formula twice for expressions like x - 16

Why This Matters

Mastering the difference of squares formula is essential for advanced algebra, calculus, and solving equations efficiently. This powerful factoring technique appears throughout mathematics and helps you simplify complex expressions quickly.

Before You Start — Make Sure You Can:

Multiplying binomial by binomialFactoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

This Unit Includes

14 Video lessons
Practice exercises
Learning resources

Skills

Difference of Squares
Factoring
Perfect Squares
Polynomials
Common Factors
Algebra
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