| Square of Sum | (a + b)2 = a2 + 2ab + b2 |
| Square of Difference | (a - b)2 = a2 - 2ab + b2 |
| Difference of Squares | a2 - b2 = (a + b)(a - b) |
| Sum of Squares | a2 + b2 = (a + bi)(a - bi) |
| Sum of Cubes | a3 + b3 = (a + b)(a2 - ab + b2) |
| Difference of Cubes | a3 - b3 = (a - b)(a2 + ab + b2) |