Mathematical Formulae

1. (a + b)² = a² + b² + 2ab

2. (a - b)² = a² + b² - 2ab

3. (a + b)² + (a - b)² = 2(a² + b²)

4. (a + b)² - (a - b)² = 4ab

5. a² - b² = (a + b) (a - b)

6. (a + b)³ = a³ + b³ + 3ab (a + b)

7. (a - b)³ = a³ - b³ - 3ab (a - b)

8. a³ + b³ = (a + b) (a² - ab + b²)

9. a³ - b³ = (a - b) (a² + ab + b²)

10. log_ax = y →a^y = x

11. log_ax^p = p log_ax

12. log_axy = log_a x + log_ay