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)2-2ab |
5. | (a+b)2=(a-b)2+4ab | 6. | (a-b)2=(a+b)2-4ab |
7. | ab=(a+b/2)2-(a-b/2)2 | 8. | 4ab=(a+b)2-(a-b)2 |
9. | (a+b+c)2=a2+b2+c2+2*ab+2*b*c+2*c*a | 10. | a2+b2+c2=(a+b+c)2-2*ab-2*b*c-2*c*a |
11. | (a+b)3=a3+3a2b+3ab2+b3 | 12. | (a-b)3=a3-3a2b+3ab2-b3 |
12. | a3+b3=(a+b)(a2-ab+b2) | 13. | a3-b3=(a+b)(a2+ab+b2) |
After that you can get help form it.