Шаг:1 | | Шаг:2 |
| (4p-8)*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| 4p*(q^3+2q^2)-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:3 |
= |
| 4p*q^3+4p*2q^2-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:4 |
= |
| 4p*q^3+8p*q^2-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:5 |
= |
| 4p*q^3+8p*q^2-8*q^3-8*2q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:6 |
= |
| 4p*q^3+8p*q^2-8q^3-8*2q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:7 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:8 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(q*(p^3-2p^2)+2*(p^3-2p^2)) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:9 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2*(p^3-2p^2)) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:10 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+p^3*2-2p^2*2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:11 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2p^3-2p^2*2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:12 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2p^3-4p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:13 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
(p^3-2p^2)*(q^3+2q^2) |
| = |
| Шаг:14 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*(q^3+2q^2)-2p^2*(q^3+2q^2) |
| = |
| Шаг:15 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+p^3*2q^2-2p^2*(q^3+2q^2) |
| = |
| Шаг:16 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*(q^3+2q^2) |
| = |
| Шаг:17 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*q^3-2p^2*2q^2 |
| = |
| Шаг:18 |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*q^3-4p^2*q^2 |
| = |
| Ответ |
= |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*q^3-4p^2*q^2 |
|
Шаг:1. Запишем дроби под общий знаменатель (p^3-2p^2)*(q^3+2q^2)
Стало: |
| (4p-8)*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:2. Раскрываем скобки (4p-8)*(q^3+2q^2)=4p*(q^3+2q^2)-8*(q^3+2q^2)
Стало: |
| 4p*(q^3+2q^2)-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:3. Раскрываем скобки 4p*(q^3+2q^2)=4p*q^3+4p*2q^2
Стало: |
| 4p*q^3+4p*2q^2-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:4. Выполним умножение: 4p*2q^2 = 8p*q^2
Стало: |
| 4p*q^3+8p*q^2-8*(q^3+2q^2)-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:5. Раскрываем скобки -8*(q^3+2q^2)=-8*q^3-8*2q^2
Стало: |
| 4p*q^3+8p*q^2-8*q^3-8*2q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:6. Выполним умножение: -8*q^3 = -8q^3
Стало: |
| 4p*q^3+8p*q^2-8q^3-8*2q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:7. Выполним умножение: -8*2q^2 = -16q^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(q+2)*(p^3-2p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:8. Раскрываем скобки (q+2)*(p^3-2p^2)=q*(p^3-2p^2)+2*(p^3-2p^2)
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(q*(p^3-2p^2)+2*(p^3-2p^2)) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:9. Раскрываем скобки q*(p^3-2p^2)=p^3*q-2p^2*q
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2*(p^3-2p^2)) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:10. Раскрываем скобки 2*(p^3-2p^2)=p^3*2-2p^2*2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+p^3*2-2p^2*2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:11. Выполним умножение: p^3*2 = 2p^3
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2p^3-2p^2*2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:12. Выполним умножение: -2p^2*2 = -4p^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-(p^3*q-2p^2*q+2p^3-4p^2) |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:13. Раскрываем скобки -(p^3*q-2p^2*q+2p^3-4p^2)=-p^3*q+2p^2*q-2p^3+4p^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
(p^3-2p^2)*(q^3+2q^2) |
|
Шаг:14. Раскрываем скобки (p^3-2p^2)*(q^3+2q^2)=p^3*(q^3+2q^2)-2p^2*(q^3+2q^2)
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*(q^3+2q^2)-2p^2*(q^3+2q^2) |
|
Шаг:15. Раскрываем скобки p^3*(q^3+2q^2)=p^3*q^3+p^3*2q^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+p^3*2q^2-2p^2*(q^3+2q^2) |
|
Шаг:16. Выполним умножение: p^3*2q^2 = 2p^3*q^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*(q^3+2q^2) |
|
Шаг:17. Раскрываем скобки -2p^2*(q^3+2q^2)=-2p^2*q^3-2p^2*2q^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*q^3-2p^2*2q^2 |
|
Шаг:18. Выполним умножение: -2p^2*2q^2 = -4p^2*q^2
Стало: |
| 4p*q^3+8p*q^2-8q^3-16q^2-p^3*q+2p^2*q-2p^3+4p^2 |
|
p^3*q^3+2p^3*q^2-2p^2*q^3-4p^2*q^2 |
|