x | ( | x | + | 1 | ) | ( | 2 | x | + | 5 | ) | = | ( | 2 | x | + | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
Left side of the equation = | x | x | ( | 2 | x | + | 5 | ) | + | x | × | 1 | ( | 2 | x | + | 5 | ) |
= | x | x | × | 2 | x | + | x | x | × | 5 | + | x | × | 1 | ( | 2 | x | + | 5 | ) |
= | x | x | × | 2 | x | + | x | x | × | 5 | + | x | × | 1 | × | 2 | x | + | x |
= | x | x | × | 2 | x | + | x | x | × | 5 | + | x | × | 2 | x | + | x | × | 5 |
x | x | × | 2 | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 5 | x | = | ( | 2 | x | + | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
Right side of the equation = | 2 | x | ( | x | + | 2 | ) | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
= | 2 | x | x | ( | x | + | 3 | ) | + | 2 | x | × | 2 | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
= | 2 | x | x | ( | x | + | 3 | ) | + | 4 | x | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
= | 2 | x | x | x | + | 2 | x | x | × | 3 | + | 4 | x | ( | x | + | 3 | ) | + | 1 |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 4 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 12 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 12 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 12 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 12 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 12 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 15 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 15 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 15 | x |
= | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 17 | x |
x | x | × | 2 | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 5 | x | = | 2 | x | x | x | + | 6 | x | x | + | 4 | x | x | + | 17 | x |