Шаг:1 | | Шаг:2 | | Шаг:3 | | Шаг:4 |
| - |
| = |
| 2m*m*n-(5n-5m)*(2n-5m) |
|
(2n-5m)*m*n |
| = |
| 2m^2*n-(5n-5m)*(2n-5m) |
|
(2n-5m)*m*n |
| = |
| 2m^2*n-(5n*(2n-5m)-5m*(2n-5m)) |
|
(2n-5m)*m*n |
| = |
| Шаг:5 | | Шаг:6 |
= |
| 2m^2*n-(2n*5n-5m*5n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
| = |
| 2m^2*n-(10n^2-5m*5n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
| = |
| Шаг:7 | | Шаг:8 |
= |
| 2m^2*n-(10n^2-25m*n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
| = |
| 2m^2*n-(10n^2-25m*n-2n*5m+5m*5m) |
|
(2n-5m)*m*n |
| = |
| Шаг:9 | | Шаг:10 |
= |
| 2m^2*n-(10n^2-25m*n++5m*-2n+5m*5m) |
|
(2n-5m)*m*n |
| = |
| 2m^2*n-(10n^2-25m*n+5m)*-2n+5m*5m |
|
(2n-5m)*m*n |
| = |
| Шаг:11 | | Шаг:12 |
= |
| 2m^2*n-(10n^2-25m*n+5m)*-2n+25m^2 |
|
(2n-5m)*m*n |
| = |
| 2m^2*n+2(10n^2-25m*n+5m)*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| Шаг:13 | | Шаг:14 |
= |
| 2m^2*n+(2*10n^2-2*25m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| 2m^2*n+(20n^2-2*25m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| Шаг:15 | | Шаг:16 |
= |
| 2m^2*n+(20n^2-50m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| 2m^2*n+(20n^2-50m*n+10m)*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| Шаг:17 | | Шаг:18 |
= |
| 2m^2*n+20n^2*n-50m*n*n+10m*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| 2m^2*n+20n^3-50m*n*n+10m*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| Шаг:19 | | Шаг:20 |
= |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
(2n-5m)*m*n |
| = |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2n*m*n-5m*m*n |
| = |
| Шаг:21 | | Шаг:22 |
= |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n*n-5m*m*n |
| = |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n^2-5m*m*n |
| = |
| Шаг:23 | | Ответ |
= |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n^2-5m^2*n |
| = |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n^2-5m^2*n |
|
Шаг:1. Проставляем недостающие умножения
Шаг:2. Запишем дроби под общий знаменатель (2n-5m)*m*n
Стало: |
| 2m*m*n-(5n-5m)*(2n-5m) |
|
(2n-5m)*m*n |
|
Шаг:3. Выполним умножение: 2m*m = 2m^2
Стало: |
| 2m^2*n-(5n-5m)*(2n-5m) |
|
(2n-5m)*m*n |
|
Шаг:4. Раскрываем скобки (5n-5m)*(2n-5m)=5n*(2n-5m)-5m*(2n-5m)
Стало: |
| 2m^2*n-(5n*(2n-5m)-5m*(2n-5m)) |
|
(2n-5m)*m*n |
|
Шаг:5. Раскрываем скобки 5n*(2n-5m)=2n*5n-5m*5n
Стало: |
| 2m^2*n-(2n*5n-5m*5n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
|
Шаг:6. Выполним умножение: 2n*5n = 10n^2
Стало: |
| 2m^2*n-(10n^2-5m*5n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
|
Шаг:7. Выполним умножение: -5m*5n = -25m*n
Стало: |
| 2m^2*n-(10n^2-25m*n-5m*(2n-5m)) |
|
(2n-5m)*m*n |
|
Шаг:8. Раскрываем скобки -5m*(2n-5m)=-2n*5m+5m*5m
Стало: |
| 2m^2*n-(10n^2-25m*n-2n*5m+5m*5m) |
|
(2n-5m)*m*n |
|
Шаг:9. Сортируем буквы в алфавитном порядке
Стало: |
| 2m^2*n-(10n^2-25m*n++5m*-2n+5m*5m) |
|
(2n-5m)*m*n |
|
Шаг:10. Проставляем недостающие умножения
Стало: |
| 2m^2*n-(10n^2-25m*n+5m)*-2n+5m*5m |
|
(2n-5m)*m*n |
|
Шаг:11. Выполним умножение: 5m*5m = 25m^2
Стало: |
| 2m^2*n-(10n^2-25m*n+5m)*-2n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:12. Выполним умножение: -10n^2-25m*n+5m*-2n = 210n^2-25m*n+5m*n
Стало: |
| 2m^2*n+2(10n^2-25m*n+5m)*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:13. Раскрываем скобки 2*(10n^2-25m*n+5m)=2*10n^2-2*25m*n+2*5m
Стало: |
| 2m^2*n+(2*10n^2-2*25m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:14. Выполним умножение: 2*10n^2 = 20n^2
Стало: |
| 2m^2*n+(20n^2-2*25m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:15. Выполним умножение: -2*25m = -50m
Стало: |
| 2m^2*n+(20n^2-50m*n+2*5m)*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:16. Выполним умножение: 2*5m = 10m
Стало: |
| 2m^2*n+(20n^2-50m*n+10m)*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:17. Раскрываем скобки (20n^2-50m*n+10m)*n=20n^2*n-50m*n*n+10m*n
Стало: |
| 2m^2*n+20n^2*n-50m*n*n+10m*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:18. Выполним умножение: 20n^2*n = 20n^3
Стало: |
| 2m^2*n+20n^3-50m*n*n+10m*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:19. Выполним умножение: n*n = n^2
Стало: |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
(2n-5m)*m*n |
|
Шаг:20. Раскрываем скобки (2n-5m)*m*n=2n*m*n-5m*m*n
Стало: |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2n*m*n-5m*m*n |
|
Шаг:21. Сортируем буквы в алфавитном порядке
Стало: |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n*n-5m*m*n |
|
Шаг:22. Выполним умножение: n*n = n^2
Стало: |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n^2-5m*m*n |
|
Шаг:23. Выполним умножение: -5m*m = -5m^2
Стало: |
| 2m^2*n+20n^3-50m*n^2+10m*n+25m^2 |
|
2m*n^2-5m^2*n |
|