Задание №2. Раскройте скобки и приведите подобные слагаемые: a) 3b + (5a - 7b) б) -(8c - 4) + 4 в) (2 + 3x) + (7x - 2) г) 3(8m - 4) + 6m д) 15 - 5(1 - a) - 6a e) (2a - 7y) - (5a - 7y) ж) 14b - (15b + y) - (y + 10b) з) 7(5a + 8) - 11a и) 9x + 3(15 - 8x) к) 33 - 8(11b - 1) - 2b

Решение: a) \(3b + (5a - 7b) = 3b + 5a - 7b = 5a + (3b - 7b) = 5a + (3 - 7)b = 5a - 4b\) б) \(-(8c - 4) + 4 = -8c + 4 + 4 = -8c + 8\) в) \((2 + 3x) + (7x - 2) = 2 + 3x + 7x - 2 = (3x + 7x) + (2 - 2) = 10x + 0 = 10x\) г) \(3(8m - 4) + 6m = 24m - 12 + 6m = (24m + 6m) - 12 = 30m - 12\) д) \(15 - 5(1 - a) - 6a = 15 - 5 + 5a - 6a = (15 - 5) + (5a - 6a) = 10 + (5 - 6)a = 10 - a\) e) \((2a - 7y) - (5a - 7y) = 2a - 7y - 5a + 7y = (2a - 5a) + (-7y + 7y) = (2 - 5)a + 0y = -3a\) ж) \(14b - (15b + y) - (y + 10b) = 14b - 15b - y - y - 10b = (14b - 15b - 10b) + (-y - y) = (14 - 15 - 10)b - 2y = -11b - 2y\) з) \(7(5a + 8) - 11a = 35a + 56 - 11a = (35a - 11a) + 56 = (35 - 11)a + 56 = 24a + 56\) и) \(9x + 3(15 - 8x) = 9x + 45 - 24x = (9x - 24x) + 45 = (9 - 24)x + 45 = -15x + 45\) к) \(33 - 8(11b - 1) - 2b = 33 - 88b + 8 - 2b = (33 + 8) + (-88b - 2b) = 41 + (-88 - 2)b = 41 - 90b\)