Предмет: Алгебра, автор: katerinasolanik777

Подайте вираз у вигляді многочлена: 1) -8x² (x²-7x+6) 3) (x - 3)(x²- 2x - 8); 5) (7у - 2)(8y - 3) - 56y ² 2) (4m - 2)(5m + 3) 4) 5y(y² - 3y(y² - 5y) 6) 6m² - (2m - 3)(3m² +2)​

Ответы

Автор ответа: AndriiBavytskyi
1

1) -8x² (x² - 7x + 6) можна розкрити дужку та помножити кожен член на -8x²:

-8x⁴ + 56x³ - 48x²

2) (4m - 2)(5m + 3) можна розкрити дужку:

20m² + 12m - 10m - 6

Потім об'єднаємо подібні члени:

20m² + 2m - 6

3) (x - 3)(x² - 2x - 8) можна розкрити дужку:

x³ - 2x² - 8x - 3x² + 6x + 24

Потім об'єднаємо подібні члени:

x³ - 5x² - 2x + 24

4) 5y(y² - 3y(y² - 5y)) можна спростити внутрішню дужку:

5y(y² - 3y³ + 5y²)

Тепер помножимо кожен член на 5y:

5y³ - 15y⁴ + 25y³

Потім об'єднаємо подібні члени:

30y³ - 15y⁴

5) (7у - 2)(8у - 3) - 56у ² можна розкрити дужку:

56у² - 21у - 16у + 6 - 56у²

Тепер об'єднаємо подібні члени:

-37у + 6

6) 6m² - (2m - 3)(3m² + 2) можна розкрити дужку:

6m² - 6m⁴ + 4m³ + 9m² - 6

Потім об'єднаємо подібні члени:

-6m⁴ + 4m³ + 15m² - 6

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