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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

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