| Formula | Expression |
|---|---|
| Quadratic Formula | x = (-b ± √(b²-4ac)) / 2a |
| Difference of Squares | a² - b² = (a+b)(a-b) |
| Perfect Square | (a+b)² = a² + 2ab + b² |
| Sum of Cubes | a³ + b³ = (a+b)(a²-ab+b²) |
| Binomial Theorem | (a+b)ⁿ = Σ C(n,k) aⁿ⁻ᵏbᵏ |
| Slope | m = (y₂-y₁)/(x₂-x₁) |
| Distance | d = √((x₂-x₁)²+(y₂-y₁)²) |
| Midpoint | ((x₁+x₂)/2, (y₁+y₂)/2) |