x^3 + y^3 = (x + y)^3 - 3xy(x + y) = 10^3 - 3 \cdot 21 \cdot 10 = 1000 - 630 = 370

Sat, 02 May 2026 14:46:19 +0000

Understanding the Identity: x³ + y³ = (x + y)³ − 3xy(x + y) Applied to a Numerical Proof --- Unlocking the Power of Algebraic Identities: A Deep Dive into x³ + y³ = (x + y)³ − 3xy(x + y) Mathematics is filled with elegant identities that simplify complex expressions and reveal hidden patterns. One such powerful identity is: