1. (a + b) * c = (a * c) + (b * c)
2. a * (b + c) = (a * b) + (a * c)
3. (a + b) * (c + d) = (a * c) + (a * d) + (b * c) + (b * d)
4. (a * b) * c = a * (b * c)
5. a * (b * c) = (a * b) * c
6. (a + b) * c = a * c + b * c
7. a * (b + c) = a * b + a * c
8. (a + b) * (c - d) = (a * c) - (a * d) + (b * c) - (b * d)
9. (a - b) * c = (a * c) - (b * c)
10. (a + b) * (a - b) = a^2 - b^2