| ( | s | + | 1 | ) | ( | s | + | 4 | ) | s | = | ( | s | + | 2 | ) | ( | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | ( | s | + | 4 | ) | + | s | ( | s | + | 1 | ) | ) |
| Left side of the equation = | s | ( | s | + | 4 | ) | s | + | 1 | ( | s | + | 4 | ) | s |
| = | s | s | s | + | s | × | 4 | s | + | 1 | ( | s | + | 4 | ) | s |
| = | s | s | s | + | s | × | 4 | s | + | 1 | s | s | + | 1 | × | 4 | s |
| = | s | s | s | + | s | × | 4 | s | + | 1 | s | s | + | 4 | s |
| s | s | s | + | s | × | 4 | s | + | 1 | s | s | + | 4 | s | = | ( | s | + | 2 | ) | ( | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | ( | s | + | 4 | ) | + | s | ( | s | + | 1 | ) | ) |
| Right side of the equation = | s | ( | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | ( | s | + | 4 | ) | + | s | ( | s | + | 1 | ) | ) | + | 2 | ( | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | ( | s | + | 4 | ) | + | s | ( | s | + | 1 | ) | ) |
| = | s | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | s | ( | s | + | 4 | ) | + | s | s | ( | s | + | 1 | ) | + | 2 | ( | ( | s | + | 1 | ) | ( | s | + | 4 | ) | + | s | ( | s | + | 4 | ) | + | s | ( | s | + | 1 | ) | ) |
| = | s | s | ( | s | + | 4 | ) | + | s | × | 1 | ( | s | + | 4 | ) | + | s | s | ( | s | + | 4 | ) | + | s | s | ( | s | + | 1 | ) |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | ( | s | + | 4 | ) | + | s | s | ( | s | + | 4 | ) |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | s | × | 1 | × | 4 |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | s | × | 4 | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 4 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 12 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 12 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 12 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 14 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 14 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 14 | s | + | s |
| = | s | s | s | + | s | s | × | 4 | + | s | × | 1 | s | + | 22 | s | + | s |