Uprość wyrażenie:
(1/(x + y)2)(1/x2 + 1/y2) + (2/(x + y)3)(1/x + 1/y)
| 1 | 1 | 1 | 2 | 1 | 1 | ||||||
( | + | )+ | ( | + | ) | ||||||
| (x+y)2 | x2 | y2 | (x+y)3 | x | y |
| 1 | x2+y2 | 2 | x+y | ||||
* | + | * | = | ||||
| (x+y)2 | x2y2 | (x+y)3 | xy |
| (x+y)(x2+y2)+2xy(x+y) | (x+y)(x2+y2+2xy) | |||
= | = | = | ||
| x2y2(x+y)3 | x2y2(x+y)3 |
| (x+y)2 | 1 | |||
= | = | |||
| x2y2(x+y)3 | x2y2(x+y) |