( | 1 | + | i | ) | ( | 1 | + | i | ) | ( | 1 | + | i | ) | = | 27 |
方程左边 = | 1 | ( | 1 | + | i | ) | ( | 1 | + | i | ) | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | × | 1 | ( | 1 | + | i | ) | + | 1 | i | ( | 1 | + | i | ) | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | ( | 1 | + | i | ) | + | 1 | i | ( | 1 | + | i | ) | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | × | 1 | + | 1 | i | + | 1 | i | ( | 1 | + | i | ) | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | + | 1 | i | + | 1 | i | ( | 1 | + | i | ) | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | + | 1 | i | + | 1 | i | × | 1 | + | 1 | i | i | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | + | 1 | i | + | 1 | i | + | 1 | i | i | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | + | 2 | i | + | 1 | i | i | + | i | ( | 1 | + | i | ) | ( | 1 | + | i | ) |
= | 1 | + | 2 | i | + | 1 | i | i | + | i | × | 1 | ( | 1 | + | i | ) | + | i | i | ( | 1 | + | i | ) |
= | 1 | + | 2 | i | + | 1 | i | i | + | i | × | 1 | × | 1 | + | i | × | 1 | i |
= | 1 | + | 2 | i | + | 1 | i | i | + | i | × | 1 | + | i | × | 1 | i | + | i |
= | 1 | + | 3 | i | + | 1 | i | i | + | i | × | 1 | i | + | i | i | ( | 1 | + | i | ) |
= | 1 | + | 3 | i | + | 1 | i | i | + | i | × | 1 | i | + | i | i | × | 1 |
1 | + | 3 | i | + | 1 | i | i | + | i | × | 1 | i | + | i | i | × | 1 | = | 27 |