Решение (2x+y+3)^2-(2x+3)^2-(y+2)^20=4x^2+4x*y+12x+y^2+6y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Осуществлен расчет (2x+y+3)^2-(2x+3)^2-(y+2)^20=4x^2+4x*y+12x+y^2+6y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Дата и время данного расчета
2021-11-14 15:18 МСК
Исходное выражение Шаг:1 (2x+y+3)^2-(2x+3)^2-(y+2)^20 = (2x+y+3)(2x+y+3)-(2x+3)^2-(y+2)^20 =
Шаг:2 = (2x+y+3)*(2x+y+3)-((2x+3)(2x+3))-(y+2)^20 =
Шаг:3 = (2x+y+3)*(2x+y+3)-((2x+3)*(2x+3))-((y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)) =
Шаг:4 = 2x*(2x+y+3)+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:5 = 2x*2x+2x*y+2x*3+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:6 = 4x^2+2x*y+2x*3+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:7 = 4x^2+2x*y+6x+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:8 = 4x^2+2x*y+6x+y*2x+y*y+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:9 = 4x^2+2x*y+6x+2x*y+y*y+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:10 = 4x^2+2x*y+6x+2x*y+y^2+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:11 = 4x^2+2x*y+6x+2x*y+y^2+3y+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:12 = 4x^2+4x*y+6x+y^2+3y+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:13 = 4x^2+4x*y+6x+y^2+3y+3*2x+3*y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:14 = 4x^2+4x*y+6x+y^2+3y+6x+3*y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:15 = 4x^2+4x*y+6x+y^2+3y+6x+3y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:16 = 4x^2+4x*y+6x+y^2+3y+6x+3y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:17 = 4x^2+4x*y+12x+y^2+3y+3y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Шаг:18 = 4x^2+4x*y+12x+y^2+6y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)) =
Ответ = 4x^2+4x*y+12x+y^2+6y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:1. Возводим в степень скобку: (2x+y+3)^2 = (2x+y+3)(2x+y+3)
Стало: (2x+y+3)(2x+y+3)-(2x+3)^2-(y+2)^20
Шаг:2. Возводим в степень скобку: (2x+3)^2 = (2x+3)(2x+3)
Стало: (2x+y+3)*(2x+y+3)-((2x+3)(2x+3))-(y+2)^20
Шаг:3. Возводим в степень скобку: (y+2)^20 = (y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)
Стало: (2x+y+3)*(2x+y+3)-((2x+3)*(2x+3))-((y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2)(y+2))
Шаг:4. Раскрываем скобки (2x+y+3)*(2x+y+3)=2x*(2x+y+3)+y*(2x+y+3)+3*(2x+y+3)
Стало: 2x*(2x+y+3)+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:5. Раскрываем скобки 2x*(2x+y+3)=2x*2x+2x*y+2x*3
Стало: 2x*2x+2x*y+2x*3+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:6. Выполним умножение: 2x*2x = 4x^2
Стало: 4x^2+2x*y+2x*3+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:7. Выполним умножение: 2x*3 = 6x
Стало: 4x^2+2x*y+6x+y*(2x+y+3)+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:8. Раскрываем скобки y*(2x+y+3)=y*2x+y*y+y*3
Стало: 4x^2+2x*y+6x+y*2x+y*y+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:9. Сортируем буквы в алфавитном порядке
Стало: 4x^2+2x*y+6x+2x*y+y*y+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:10. Выполним умножение: y*y = y^2
Стало: 4x^2+2x*y+6x+2x*y+y^2+y*3+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:11. Выполним умножение: y*3 = 3y
Стало: 4x^2+2x*y+6x+2x*y+y^2+3y+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:12. Выполним сложение 2x*y+2x*y = 4x*y
Стало: 4x^2+4x*y+6x+y^2+3y+3*(2x+y+3)-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:13. Раскрываем скобки 3*(2x+y+3)=3*2x+3*y+3*3
Стало: 4x^2+4x*y+6x+y^2+3y+3*2x+3*y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:14. Выполним умножение: 3*2x = 6x
Стало: 4x^2+4x*y+6x+y^2+3y+6x+3*y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:15. Выполним умножение: 3*y = 3y
Стало: 4x^2+4x*y+6x+y^2+3y+6x+3y+3*3-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:16. Выполним умножение: 3*3 = 9
Стало: 4x^2+4x*y+6x+y^2+3y+6x+3y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:17. Выполним сложение: 6x+6x = 12x
Стало: 4x^2+4x*y+12x+y^2+3y+3y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))
Шаг:18. Выполним сложение: 3y+3y = 6y
Стало: 4x^2+4x*y+12x+y^2+6y+9-((2x+3)*(2x+3))-((y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2)*(y+2))