193. Раскройте скобки и приведите подобные слагаемые: 1) 8(6a - 7) – 17a; 2) 6b-7(12- 3b); 3) 1,6(c-8) + 0,4(8 – 3c); 4) 1,6(9a-3b) - (4b6a) 1,5; 5)-(5,7m - 6,7) – (7,9 – 3,6m); 6)\frac{15}{16}(5\frac{1}{3}x-\frac{4}{15}y)-\frac{7}{23}(3\frac{2}{7}x-2\frac{4}{21}y).

Ответ:

1. 8(6a - 7) – 17a = 48a - 56 - 17a = 31a - 56

2. 6b - 7(12 - 3b) = 6b - 84 + 21b = 27b - 84

3. 1,6(c - 8) + 0,4(8 - 3c) = 1,6c - 12,8 + 3,2 - 1,2c = 0,4c - 9,6

4. 1,6(9a - 3b) - (4b - 6a) \cdot 1,5 = 14,4a - 4,8b - 6b + 9a = 23,4a - 10,8b

5. -(5,7m - 6,7) – (7,9 – 3,6m) = -5,7m + 6,7 - 7,9 + 3,6m = -2,1m - 1,2

6. \frac{15}{16}(5\frac{1}{3}x-\frac{4}{15}y)-\frac{7}{23}(3\frac{2}{7}x-2\frac{4}{21}y) = \frac{15}{16}(\frac{16}{3}x-\frac{4}{15}y)-\frac{7}{23}(\frac{23}{7}x-\frac{46}{21}y)=\frac{15 \cdot 16}{16 \cdot 3}x - \frac{15 \cdot 4}{16 \cdot 15}y - \frac{7 \cdot 23}{23 \cdot 7}x + \frac{7 \cdot 46}{23 \cdot 21}y = 5x - \frac{1}{4}y - x + \frac{2}{3}y = 4x + \frac{5}{12}y

Ответ: 1) 31a - 56; 2) 27b - 84; 3) 0,4c - 9,6; 4) 23,4a - 10,8b; 5) -2,1m - 1,2; 6) 4x + \frac{5}{12}y