x^2 - 4y^2 = (x - 2y)(x + 2y)

Fri, 01 May 2026 16:03:17 +0000

Understanding the Identity: x² – 4y² = (x – 2y)(x + 2y) The expression x² – 4y² is a classic example of a difference of squares, one of the most fundamental identities in algebra. Its elegant factorization as (x – 2y)(x + 2y) is not only a cornerstone in high school math but also a powerful tool in advanced mathematics, physics, and engineering. In this article, we’ll explore the identity, how it works, and why it matters. --- ### What is the Difference of Squares?