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