6^2 = 20 + 2xy \implies 36 = 20 + 2xy \implies 2xy = 16 \implies xy = 8

Sun, 03 May 2026 08:53:51 +0000

# Understanding the Powerful Algebraic Identity: 6² = 20 + 2xy Implies xy = 8 Mathematics is full of elegant identities that reveal deep connections between numbers. One such revelation comes from manipulating a simple but powerful equation: 6² = 20 + 2xy At first glance, this equation may seem straightforward, but it unlocks elegant simplifications that can streamline problem-solving in algebra, geometry, and number theory. Let’s break it down step by step and uncover why this identity holds true—and how it leads to meaningful results like xy = 8.