Algebraic Expression

Algebraic Formulae: 

1.            (a + b)² = a² + 2ab + b²

2.            (a - b)²  = a² - 2ab + b²

3.            a² + b² = (a + b)² - 2ab

4.            a² - b² = (a + b) (a - b)

5.            (a + b)³ = a³ + 3 a²b + 3 ab² + b³

6.            (a - b)³ = a³ - 3 a²b + 3 ab² - b³

7.            a³ + b³ = (a + b) (a² - ab + b²)

8.            a³ - b³ = (a - b) (a² + ab + b²)

9.            aⁿ + bⁿ = (a + b) (a^n-1 + a ^n-2b + a ^n-3b² …..+b^n-1)

10.         a³ + b³ = (a + b)³  - 3ab(a + b)

11.         a³ - b³ = (a - b)³  + 3ab(a - b)