1, square difference formula: a2-b2=(a+b)(a-b).
2. Complete square formula: a2+2ab+b2=(a+b)2.
3. Cubic summation formula: a3+b3=(a+b)(a2-ab+b2).
4. Cubic difference formula: a3-b3=(a-b)(a2+ab+b2).
5. Complete cubic summation formula: a3+3a2b+3ab2+b3=(a+b)3.
6. Complete cubic difference formula: a3-3a2b+3ab2-b3=(a-b)3.
7. Three complete square formulas: a2+b2+c2+2ab+2bc+2ac=(a+b+c)2.
8. Cubic summation formula: a3+b3+c3-3abc = (a+b+c) (a2+b2+c2-ab-bc-ac).