s | ( | 1 5 | s | + | 1 | ) | ( | 1 16 | s | + | 1 | ) | = | 1 | ÷ | 40 |
Left side of the equation = | s | × | 1 5 | s | ( | 1 16 | s | + | 1 | ) | + | s | × | 1 | ( | 1 16 | s | + | 1 | ) |
= | s | × | 1 5 | s | × | 1 16 | s | + | s | × | 1 5 | s | × | 1 | + | s | × | 1 | ( | 1 16 | s | + | 1 | ) |
= | s | × | 1 80 | s | s | + | s | × | 1 5 | s | + | s | × | 1 | ( | 1 16 | s | + | 1 | ) |
= | s | × | 1 80 | s | s | + | s | × | 1 5 | s | + | s | × | 1 | × | 1 16 | s | + | s |
= | s | × | 1 80 | s | s | + | s | × | 1 5 | s | + | s | × | 1 16 | s | + | s | × | 1 |
s | × | 1 80 | s | s | + | s | × | 1 5 | s | + | s | × | 1 16 | s | + | 1 | s | = | 1 | ÷ | 40 |
Right side of the equation = | 1 40 |
s | × | 1 80 | s | s | + | s | × | 1 5 | s | + | s | × | 1 16 | s | + | 1 | s | = | 1 40 |