Шаг:1 | | Шаг:2 |
| 0.75*(3s^2+2.5s+0.5) |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
| = |
| 0.75*3s^2+0.75*2.5s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
| = |
| Шаг:3 | | Шаг:4 |
= |
| 2.25s^2+0.75*2.5s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
| = |
| 2.25s^2+1.875s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
| = |
| Шаг:5 | | Шаг:6 |
= |
| 2.25s^2+1.875s+0.375 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
| = |
| 2.25s^2+1.875s+0.375 |
|
3s^2*(3s^2+2.5s+1.25)+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:7 |
= |
| 2.25s^2+1.875s+0.375 |
|
3s^2*3s^2+3s^2*2.5s+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:8 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+3s^2*2.5s+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:9 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:10 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:11 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+2.5s*3s^2+2.5s*2.5s+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:12 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+2.5s*2.5s+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:13 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+6.25s^2+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:14 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+6.25s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:15 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+3.75s^2+6.25s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:16 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
| = |
| Шаг:17 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+0.5*3s^2+0.5*2.5s+0.5*1.25 |
| = |
| Шаг:18 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+0.5*2.5s+0.5*1.25 |
| = |
| Шаг:19 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+1.25s+0.5*1.25 |
| = |
| Шаг:20 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+1.25s+0.625 |
| = |
| Шаг:21 | | Шаг:22 |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+11.5s^2+3.125s+1.25s+0.625 |
| = |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+11.5s^2+4.375s+0.625 |
| = |
| Ответ |
= |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+11.5s^2+4.375s+0.625 |
|
Шаг:1. Выполним деление дробей умножением на обратную дробь
Стало: |
| 0.75*(3s^2+2.5s+0.5) |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
|
Шаг:2. Раскрываем скобки 0.75*(3s^2+2.5s+0.5)=0.75*3s^2+0.75*2.5s+0.75*0.5
Стало: |
| 0.75*3s^2+0.75*2.5s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
|
Шаг:3. Выполним умножение: 0.75*3s^2 = 2.25s^2
Стало: |
| 2.25s^2+0.75*2.5s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
|
Шаг:4. Выполним умножение: 0.75*2.5s = 1.875s
Стало: |
| 2.25s^2+1.875s+0.75*0.5 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
|
Шаг:5. Выполним умножение: 0.75*0.5 = 0.375
Стало: |
| 2.25s^2+1.875s+0.375 |
|
(3s^2+2.5s+0.5)*(3s^2+2.5s+1.25) |
|
Шаг:6. Раскрываем скобки (3s^2+2.5s+0.5)*(3s^2+2.5s+1.25)=3s^2*(3s^2+2.5s+1.25)+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25)
Стало: |
| 2.25s^2+1.875s+0.375 |
|
3s^2*(3s^2+2.5s+1.25)+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
|
Шаг:7. Раскрываем скобки 3s^2*(3s^2+2.5s+1.25)=3s^2*3s^2+3s^2*2.5s+3s^2*1.25
Стало: |
| 2.25s^2+1.875s+0.375 |
|
3s^2*3s^2+3s^2*2.5s+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
|
Шаг:8. Выполним умножение: 3s^2*3s^2 = 9s^4
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+3s^2*2.5s+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
|
Шаг:9. Выполним умножение: 3s^2*2.5s = 7.5s^3
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3s^2*1.25+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
|
Шаг:10. Выполним умножение: 3s^2*1.25 = 3.75s^2
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+2.5s*(3s^2+2.5s+1.25)+0.5*(3s^2+2.5s+1.25) |
|
Шаг:11. Раскрываем скобки 2.5s*(3s^2+2.5s+1.25)=2.5s*3s^2+2.5s*2.5s+2.5s*1.25
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+2.5s*3s^2+2.5s*2.5s+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
|
Шаг:12. Выполним умножение: 2.5s*3s^2 = 7.5s^3
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+2.5s*2.5s+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
|
Шаг:13. Выполним умножение: 2.5s*2.5s = 6.25s^2
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+6.25s^2+2.5s*1.25+0.5*(3s^2+2.5s+1.25) |
|
Шаг:14. Выполним умножение: 2.5s*1.25 = 3.125s
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+7.5s^3+3.75s^2+7.5s^3+6.25s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
|
Шаг:15. Выполним сложение: 7.5s^3+7.5s^3 = 15s^3
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+3.75s^2+6.25s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
|
Шаг:16. Выполним сложение: 3.75s^2+6.25s^2 = 10s^2
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+0.5*(3s^2+2.5s+1.25) |
|
Шаг:17. Раскрываем скобки 0.5*(3s^2+2.5s+1.25)=0.5*3s^2+0.5*2.5s+0.5*1.25
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+0.5*3s^2+0.5*2.5s+0.5*1.25 |
|
Шаг:18. Выполним умножение: 0.5*3s^2 = 1.5s^2
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+0.5*2.5s+0.5*1.25 |
|
Шаг:19. Выполним умножение: 0.5*2.5s = 1.25s
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+1.25s+0.5*1.25 |
|
Шаг:20. Выполним умножение: 0.5*1.25 = 0.625
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+10s^2+3.125s+1.5s^2+1.25s+0.625 |
|
Шаг:21. Выполним сложение: 10s^2+1.5s^2 = 11.5s^2
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+11.5s^2+3.125s+1.25s+0.625 |
|
Шаг:22. Выполним сложение: 3.125s+1.25s = 4.375s
Стало: |
| 2.25s^2+1.875s+0.375 |
|
9s^4+15s^3+11.5s^2+4.375s+0.625 |
|