110 | + | ( | n | − | 9 | ) | ( | n | − | 10 | ) | = | 11 | ( | n | − | 9 | ) |
Left side of the equation = | 110 | + | n | ( | n | − | 10 | ) | − | 9 | ( | n | − | 10 | ) |
= | 110 | + | n | n | − | n | × | 10 | − | 9 | ( | n | − | 10 | ) |
= | 110 | + | n | n | − | 10 | n | − | 9 | n | + | 9 | × | 10 |
= | 110 | + | n | n | − | 10 | n | − | 9 | n | + | 90 |
= | 200 | + | n | n | − | 19 | n |
200 | + | n | n | − | 19 | n | = | 11 | ( | n | − | 9 | ) |
Right side of the equation = | 11 | n | − | 11 | × | 9 |
= | 11 | n | − | 99 |
200 | + | n | n | − | 19 | n | = | 11 | n | − | 99 |