x^2 - y^2 = (x - y)(x + y)

Mon, 04 May 2026 02:12:42 +0000

# Understanding the Essential Identity: x² – y² = (x – y)(x + y) Explore the timeless algebraic identity x² – y² = (x – y)(x + y), its meaning, derivation, and practical applications in algebra and beyond. The identity x² – y² = (x – y)(x + y) is one of the most fundamental and widely used formulas in algebra. Recognized by students, teachers, and mathematicians alike, this elegant equation reveals a powerful relationship between squares, differences, and binomials. Whether you're solving equations, factoring polynomials, or simplifying expressions, understanding this identity opens doors to more advanced mathematical concepts. ## What Is the Identity x² – y² = (x – y)(x + y)?