| Шаг:1 | | Шаг:2 |
| (w^2+w+1)*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| w^2*(27-w^3)+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:3 |
| = |
| w^2*27-w^2*w^3+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:4 |
| = |
| 27w^2-w^2*w^3+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:5 |
| = |
| 27w^2-w^5+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:6 |
| = |
| 27w^2-w^5+w*27-w*w^3+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:7 |
| = |
| 27w^2-w^5+27w-w*w^3+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:8 |
| = |
| 27w^2-w^5+27w-w^4+1*(27-w^3)+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:9 |
| = |
| 27w^2-w^5+27w-w^4+1*27-1*w^3+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:10 |
| = |
| 27w^2-w^5+27w-w^4+27-1*w^3+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:11 |
| = |
| 27w^2-w^5+27w-w^4+27-w^3+(2w+8)*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:12 |
| = |
| 27w^2-w^5+27w-w^4+27-w^3+2w*(w^3-27)+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:13 |
| = |
| 27w^2-w^5+27w-w^4+27-w^3+2w*w^3-2w*27+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:14 |
| = |
| 27w^2-w^5+27w-w^4+27-w^3+2w^4-2w*27+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:15 |
| = |
| 27w^2-w^5+27w-w^4+27-w^3+2w^4-54w+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:16 |
| = |
| 27w^2-w^5-27w-w^4+27-w^3+2w^4+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:17 | | Шаг:18 |
| = |
| 27w^2-w^5-27w+w^4+27-w^3+8*(w^3-27) |
|
| (w^3-27)*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4+27-w^3+8*w^3-8*27 |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:19 | | Шаг:20 |
| = |
| 27w^2-w^5-27w+w^4+27-w^3+8w^3-8*27 |
|
| (w^3-27)*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4+27-w^3+8w^3-216 |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:21 | | Шаг:22 |
| = |
| 27w^2-w^5-27w+w^4-189-w^3+8w^3 |
|
| (w^3-27)*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| (w^3-27)*(27-w^3) |
| = |
| Шаг:23 | | Шаг:24 | | Шаг:25 |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| w^3*(27-w^3)-27*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| w^3*27-w^3*w^3-27*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 27w^3-w^3*w^3-27*(27-w^3) |
| = |
| Шаг:26 | | Шаг:27 | | Шаг:28 |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 27w^3-w^6-27*(27-w^3) |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 27w^3-w^6-27*27+27*w^3 |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 27w^3-w^6-729+27*w^3 |
| = |
| Шаг:29 | | Шаг:30 | | Ответ |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 27w^3-w^6-729+27w^3 |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 54w^3-w^6-729 |
| = |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|
| 54w^3-w^6-729 |
|
Шаг:1. Запишем дроби под общий знаменатель (w^3-27)*(27-w^3)
| Стало: |
| (w^2+w+1)*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:2. Раскрываем скобки (w^2+w+1)*(27-w^3)=w^2*(27-w^3)+w*(27-w^3)+1*(27-w^3)
| Стало: |
| w^2*(27-w^3)+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:3. Раскрываем скобки w^2*(27-w^3)=w^2*27-w^2*w^3
| Стало: |
| w^2*27-w^2*w^3+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:4. Выполним умножение: w^2*27 = 27w^2
| Стало: |
| 27w^2-w^2*w^3+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:5. Выполним умножение: -w^2*w^3 = -w^5
| Стало: |
| 27w^2-w^5+w*(27-w^3)+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:6. Раскрываем скобки w*(27-w^3)=w*27-w*w^3
| Стало: |
| 27w^2-w^5+w*27-w*w^3+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:7. Выполним умножение: w*27 = 27w
| Стало: |
| 27w^2-w^5+27w-w*w^3+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:8. Выполним умножение: -w*w^3 = -w^4
| Стало: |
| 27w^2-w^5+27w-w^4+1*(27-w^3)+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:9. Раскрываем скобки 1*(27-w^3)=1*27-1*w^3
| Стало: |
| 27w^2-w^5+27w-w^4+1*27-1*w^3+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:10. Выполним умножение: 1*27 = 27
| Стало: |
| 27w^2-w^5+27w-w^4+27-1*w^3+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:11. Выполним умножение: -1*w^3 = -w^3
| Стало: |
| 27w^2-w^5+27w-w^4+27-w^3+(2w+8)*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:12. Раскрываем скобки (2w+8)*(w^3-27)=2w*(w^3-27)+8*(w^3-27)
| Стало: |
| 27w^2-w^5+27w-w^4+27-w^3+2w*(w^3-27)+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:13. Раскрываем скобки 2w*(w^3-27)=2w*w^3-2w*27
| Стало: |
| 27w^2-w^5+27w-w^4+27-w^3+2w*w^3-2w*27+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:14. Выполним умножение: 2w*w^3 = 2w^4
| Стало: |
| 27w^2-w^5+27w-w^4+27-w^3+2w^4-2w*27+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:15. Выполним умножение: -2w*27 = -54w
| Стало: |
| 27w^2-w^5+27w-w^4+27-w^3+2w^4-54w+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:16. Выполним вычитание: 27w-54w = -27w
| Стало: |
| 27w^2-w^5-27w-w^4+27-w^3+2w^4+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:17. Выполним сложение: -w^4+2w^4 = 1w^4
| Стало: |
| 27w^2-w^5-27w+w^4+27-w^3+8*(w^3-27) |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:18. Раскрываем скобки 8*(w^3-27)=8*w^3-8*27
| Стало: |
| 27w^2-w^5-27w+w^4+27-w^3+8*w^3-8*27 |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:19. Выполним умножение: 8*w^3 = 8w^3
| Стало: |
| 27w^2-w^5-27w+w^4+27-w^3+8w^3-8*27 |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:20. Выполним умножение: -8*27 = -216
| Стало: |
| 27w^2-w^5-27w+w^4+27-w^3+8w^3-216 |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:21. Выполним вычитание: 27-216 = -189
| Стало: |
| 27w^2-w^5-27w+w^4-189-w^3+8w^3 |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:22. Выполним сложение: -w^3+8w^3 = 7w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| (w^3-27)*(27-w^3) |
|
Шаг:23. Раскрываем скобки (w^3-27)*(27-w^3)=w^3*(27-w^3)-27*(27-w^3)
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| w^3*(27-w^3)-27*(27-w^3) |
|
Шаг:24. Раскрываем скобки w^3*(27-w^3)=w^3*27-w^3*w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| w^3*27-w^3*w^3-27*(27-w^3) |
|
Шаг:25. Выполним умножение: w^3*27 = 27w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 27w^3-w^3*w^3-27*(27-w^3) |
|
Шаг:26. Выполним умножение: -w^3*w^3 = -w^6
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 27w^3-w^6-27*(27-w^3) |
|
Шаг:27. Раскрываем скобки -27*(27-w^3)=-27*27+27*w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 27w^3-w^6-27*27+27*w^3 |
|
Шаг:28. Выполним умножение: -27*27 = -729
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 27w^3-w^6-729+27*w^3 |
|
Шаг:29. Выполним умножение: 27*w^3 = 27w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 27w^3-w^6-729+27w^3 |
|
Шаг:30. Выполним сложение: 27w^3+27w^3 = 54w^3
| Стало: |
| 27w^2-w^5-27w+w^4-189+7w^3 |
|---|
|
| 54w^3-w^6-729 |
|
