Шаг:1 | | Шаг:2 |
| (y+2)*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| y*(y2-4)+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:3 | | Шаг:4 |
= |
| y*y2-y*4+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:5 | | Шаг:6 |
= |
| y*y2-4y+2*y2-2*4-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2y2-2*4-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:7 | | Шаг:8 |
= |
| y*y2-4y+2y2-8-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2y2-8-(y*(y2-2y)-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:9 | | Шаг:10 |
= |
| y*y2-4y+2y2-8-(y2*y-2y*y-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2y2-8-(y*y2-2y*y-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:11 | | Шаг:12 |
= |
| y*y2-4y+2y2-8-(y*y2-2y^2-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2y2-8-(y*y2-2y^2-y2*4+2y*4) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:13 | | Шаг:14 |
= |
| y*y2-4y+2y2-8-(y*y2-2y^2-4y2+2y*4) |
|
(y2-2y)*(y2-4) |
| = |
| y*y2-4y+2y2-8-(y*y2-2y^2-4y2+8y) |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:15 | | Шаг:16 | | Шаг:17 |
= |
| y*y2-4y+2y2-8-y*y2+2y^2+4y2-8y |
|
(y2-2y)*(y2-4) |
| = |
| -4y+2y2-8+2y^2+4y2-8y |
|
(y2-2y)*(y2-4) |
| = |
| -12y+2y2-8+2y^2+4y2 |
|
(y2-2y)*(y2-4) |
| = |
| Шаг:18 | | Шаг:19 | | Шаг:20 | | Шаг:21 |
= |
| -12y+6y2-8+2y^2 |
|
(y2-2y)*(y2-4) |
| = |
| -12y+6y2-8+2y^2 |
|
y2*(y2-4)-2y*(y2-4) |
| = |
| -12y+6y2-8+2y^2 |
|
y2*y2-y2*4-2y*(y2-4) |
| = |
| -12y+6y2-8+2y^2 |
|
y2^2-y2*4-2y*(y2-4) |
| = |
| Шаг:22 | | Шаг:23 | | Шаг:24 | | Ответ |
= |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*(y2-4) |
| = |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*y2+2y*4 |
| = |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*y2+8y |
| = |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*y2+8y |
|
Шаг:1. Запишем дроби под общий знаменатель (y2-2y)*(y2-4)
Стало: |
| (y+2)*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:2. Раскрываем скобки (y+2)*(y2-4)=y*(y2-4)+2*(y2-4)
Стало: |
| y*(y2-4)+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:3. Раскрываем скобки y*(y2-4)=y*y2-y*4
Стало: |
| y*y2-y*4+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:4. Выполним умножение: -y*4 = -4y
Стало: |
| y*y2-4y+2*(y2-4)-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:5. Раскрываем скобки 2*(y2-4)=2*y2-2*4
Стало: |
| y*y2-4y+2*y2-2*4-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:6. Выполним умножение: 2*y2 = 2y2
Стало: |
| y*y2-4y+2y2-2*4-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:7. Выполним умножение: -2*4 = -8
Стало: |
| y*y2-4y+2y2-8-(y-4)*(y2-2y) |
|
(y2-2y)*(y2-4) |
|
Шаг:8. Раскрываем скобки (y-4)*(y2-2y)=y*(y2-2y)-4*(y2-2y)
Стало: |
| y*y2-4y+2y2-8-(y*(y2-2y)-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
|
Шаг:9. Раскрываем скобки y*(y2-2y)=y2*y-2y*y
Стало: |
| y*y2-4y+2y2-8-(y2*y-2y*y-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
|
Шаг:10. Сортируем буквы в алфавитном порядке
Стало: |
| y*y2-4y+2y2-8-(y*y2-2y*y-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
|
Шаг:11. Выполним умножение: -2y*y = -2y^2
Стало: |
| y*y2-4y+2y2-8-(y*y2-2y^2-4*(y2-2y)) |
|
(y2-2y)*(y2-4) |
|
Шаг:12. Раскрываем скобки -4*(y2-2y)=-y2*4+2y*4
Стало: |
| y*y2-4y+2y2-8-(y*y2-2y^2-y2*4+2y*4) |
|
(y2-2y)*(y2-4) |
|
Шаг:13. Выполним умножение: -y2*4 = -4y2
Стало: |
| y*y2-4y+2y2-8-(y*y2-2y^2-4y2+2y*4) |
|
(y2-2y)*(y2-4) |
|
Шаг:14. Выполним умножение: 2y*4 = 8y
Стало: |
| y*y2-4y+2y2-8-(y*y2-2y^2-4y2+8y) |
|
(y2-2y)*(y2-4) |
|
Шаг:15. Раскрываем скобки -(y*y2-2y^2-4y2+8y)=-y*y2+2y^2+4y2-8y
Стало: |
| y*y2-4y+2y2-8-y*y2+2y^2+4y2-8y |
|
(y2-2y)*(y2-4) |
|
Шаг:16. Выполним сложение y*y2-y*y2 = 0y*y2
Стало: |
| -4y+2y2-8+2y^2+4y2-8y |
|
(y2-2y)*(y2-4) |
|
Шаг:17. Выполним вычитание: -4y-8y = -12y
Стало: |
| -12y+2y2-8+2y^2+4y2 |
|
(y2-2y)*(y2-4) |
|
Шаг:18. Выполним сложение: 2y2+4y2 = 6y2
Стало: |
| -12y+6y2-8+2y^2 |
|
(y2-2y)*(y2-4) |
|
Шаг:19. Раскрываем скобки (y2-2y)*(y2-4)=y2*(y2-4)-2y*(y2-4)
Стало: |
| -12y+6y2-8+2y^2 |
|
y2*(y2-4)-2y*(y2-4) |
|
Шаг:20. Раскрываем скобки y2*(y2-4)=y2*y2-y2*4
Стало: |
| -12y+6y2-8+2y^2 |
|
y2*y2-y2*4-2y*(y2-4) |
|
Шаг:21. Выполним умножение: y2*y2 = y2^2
Стало: |
| -12y+6y2-8+2y^2 |
|
y2^2-y2*4-2y*(y2-4) |
|
Шаг:22. Выполним умножение: -y2*4 = -4y2
Стало: |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*(y2-4) |
|
Шаг:23. Раскрываем скобки -2y*(y2-4)=-2y*y2+2y*4
Стало: |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*y2+2y*4 |
|
Шаг:24. Выполним умножение: 2y*4 = 8y
Стало: |
| -12y+6y2-8+2y^2 |
|
y2^2-4y2-2y*y2+8y |
|