| Let |
| | Let a | = | b |
Multiply both sides by a |
| | a2 | = | ab |
Add a2 to both sides |
| | a2 + a2 | = | a2 + ab |
Collect like terms on both sides |
| | 2a2 | = | a2 + ab | |
Subtract 2ab from both sides |
| | 2a2 - 2ab | = | a2 + ab - 2ab |
Factor the left side, and collect like terms on the right side. |
| | 2(a2 - ab) | = | a2 - ab |
Divide both sides by (a2 - ab) |
| | 2 | = | 1 |