Mathmatical Equations to know

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1. a(b+c) = ab + ac

2. (a+b)² = a² + 2ab + b²

3. (a-b)² = a²-2ab + b²

4. (a+b)² = (a-b)² + 4ab

5. (a-b)² = (a+b)² – 4ab

6. (a-b) (a+b) = a² – b²

7. (a+b)³ = a³ + 3ab(a+b) + b³

8. (a-b)³ = a³ – 3ab(a-b) – b³

9. a³ + b ³ = (a+b) (a² – ab + b²)

10. a³ – b ³ = (a-b) (a² + ab + b²)

11. (a³ – b³) / (a² + ab + b²) = a-b

12. (a³ + b³) / (a² – ab + b²) = a+b