Задание 1. Раскройте скобки, используя распределительное свойство умножения: a) 5 ⋅ (x + 3); б) 7 ⋅ (2a - 4); в) -3 ⋅ (y + 6); г) 0,5 ⋅ (8m - 10n).

Решение:

Используем распределительное свойство умножения: a ⋅ (b + c) = a ⋅ b + a ⋅ c.

• a) 5 ⋅ (x + 3) = 5 ⋅ x + 5 ⋅ 3 = 5x + 15
• б) 7 ⋅ (2a - 4) = 7 ⋅ 2a - 7 ⋅ 4 = 14a - 28
• в) -3 ⋅ (y + 6) = -3 ⋅ y + (-3) ⋅ 6 = -3y - 18
• г) 0,5 ⋅ (8m - 10n) = 0,5 ⋅ 8m - 0,5 ⋅ 10n = 4m - 5n