Expand (x+y)³: Step-by-Step Algebraic Expansion Explained #3235558 (License: Personal Use)

This image demonstrates the full expansion of (x + y)³ by multiplying (x + y) three times, then systematically applying the distributive property across all terms. Each intermediate product is color-coded to highlight like terms-xx x (blue), xx y & xy x (red), xy y & yx x (green), yx y & yy x (red), and yy y (green)-before combining them into the simplified polynomial x³ + 3x²y + 3xy² + y³. The visual organization supports conceptual understanding of binomial expansion and the origins of Pascal’s triangle coefficients.

Used in high school or early college algebra resources, Khan Academy-style tutorials, or math curriculum pages explaining binomial theorem fundamentals. Matches user intent for “how to expand (x+y)^3”, “binomial cube derivation", or “algebra step-by-step examples”.