4.352 Найдите значение выражения: а) 2a - 3 ⋅ |c - 2| при a = -2 и c = −3; б) 3m - 8 ⋅ |n – 4| при m = -1 и n = -2; в) 4 ⋅ |2d - 5| + 5b - 3 ⋅ |-5d + 2b| при d = 2 и b = −3; г) -5 ⋅ |5 - 10x| – 4y - 4 ⋅ | -2y - 2x| при х = 1 и у = -6.

• а) 2a - 3 ⋅ |c - 2| при a = -2 и c = −3;
  1. Подставляем значения: 2(-2) - 3 ⋅ |-3 - 2| = -4 - 3 ⋅ |-5|
  2. Вычисляем: -4 - 3 ⋅ 5 = -4 - 15 = -19
• б) 3m - 8 ⋅ |n – 4| при m = -1 и n = -2;
  1. Подставляем значения: 3(-1) - 8 ⋅ |-2 - 4| = -3 - 8 ⋅ |-6|
  2. Вычисляем: -3 - 8 ⋅ 6 = -3 - 48 = -51
• в) 4 ⋅ |2d - 5| + 5b - 3 ⋅ |-5d + 2b| при d = 2 и b = −3;
  1. Подставляем значения: 4 ⋅ |2(2) - 5| + 5(-3) - 3 ⋅ |-5(2) + 2(-3)| = 4 ⋅ |4 - 5| - 15 - 3 ⋅ |-10 - 6|
  2. Вычисляем: 4 ⋅ |-1| - 15 - 3 ⋅ |-16| = 4 ⋅ 1 - 15 - 3 ⋅ 16 = 4 - 15 - 48 = -59
• г) -5 ⋅ |5 - 10x| – 4y - 4 ⋅ | -2y - 2x| при х = 1 и у = -6.
  1. Подставляем значения: -5 ⋅ |5 - 10(1)| - 4(-6) - 4 ⋅ |-2(-6) - 2(1)| = -5 ⋅ |5 - 10| + 24 - 4 ⋅ |12 - 2|
  2. Вычисляем: -5 ⋅ |-5| + 24 - 4 ⋅ |10| = -5 ⋅ 5 + 24 - 4 ⋅ 10 = -25 + 24 - 40 = -41

Ответ: а) -19; б) -51; в) -59; г) -41