Ответ: Ниже
Краткое пояснение: Раскрываем скобки и упрощаем выражения, используя правила алгебры.
№1 Раскройте скобки
- \[-(a-b) = -a + b\]
- \[-(2a+3c-4b) = -2a - 3c + 4b\]
- \[-(2-a-4n) = -2 + a + 4n\]
- \[-2(3+2c) = -6 - 4c\]
- \[-3(4c-2a) = -12c + 6a\]
- \[5(4-2c) = 20 - 10c\]
- \[-2(3-3n+4m) = -6 + 6n - 8m\]
- \[-4(a-4c+6d-n) = -4a + 16c - 24d + 4n\]
№2 Раскройте скобки и найдите значение выражений
- \[5.7 + (8.1 - 4.7) = 5.7 + 3.4 = 9.1\]
- \[3.39 - (1.39 - 4.5) = 3.39 - 1.39 + 4.5 = 2 + 4.5 = 6.5\]
- \[3.7 - (-5.3 + 3.7) = 3.7 + 5.3 - 3.7 = 5.3\]
- \[4.9 - (4.9 - 2.4) = 4.9 - 4.9 + 2.4 = 2.4\]
- \[6.8 + (-2.8 - 6.8) = 6.8 - 2.8 - 6.8 = -2.8\]
- \[-6.1 + (-4.8 + 6.1) = -6.1 - 4.8 + 6.1 = -4.8\]
- \[-0.56 + (3.8 - 2.44) = -0.56 + 1.36 = 0.8\]
- \[-0.37 + (4.2 - 4.63) = -0.37 - 0.43 = -0.8\]
- \[-8.27 - (-3.4 + 3.73) = -8.27 + 3.4 - 3.73 = -8.6\]
- \[-2.78 + (7.78 - 1.3) = -2.78 + 6.48 = 3.7\]
- \[(2 \cdot 1.51) - (3.13 \cdot 0.51) + (0.13 - 0.5) = 3.02 - 1.5963 - 0.37 = 1.0537\]
- \[-(0.39 + 2.1) + (0.13 \cdot 3 - 2.1) - 0.8 = -2.49 + (0.39 - 2.1) - 0.8 = -2.49 - 1.71 - 0.8 = -4.9\]
- \[(4.3918 - 16.4) - (4.3917 - 4.1 \cdot 4) = -12.0082 - (4.3917 - 16.4) = -12.0082 + 12.0083 = 0.0001\]
- \[(3.29 + 1) - (1.2 + 1) - (1 - 0.91) = 4.29 - 2.2 - 0.09 = 2\]
№3 Раскройте скобки и упростите выражение
- \[x - (x - y) = x - x + y = y\]
- \[a - (b + a) = a - b - a = -b\]
- \[(m - n) + n = m - n + n = m\]
- \[(x + y) - y = x + y - y = x\]
- \[5 - (3 + x) = 5 - 3 - x = 2 - x\]
- \[-x + (x + 2.7) = -x + x + 2.7 = 2.7\]
- \[-(B + 3.8) + 0.7 = -B - 3.8 + 0.7 = -B - 3.1\]
- \[4.74 - (2a + 3.7) = 4.74 - 2a - 3.7 = 1.04 - 2a\]
№4 Раскройте скобки и упростите выражение
- \[-(1-x) - (5.1 + x) = -1 + x - 5.1 - x = -6.1\]
- \[-(a - x - 3) - (x - a + 2) = -a + x + 3 - x + a - 2 = 1\]
- \[(a + 3.3 - a) \cdot (3.3 + x) = 3.3 \cdot (3.3 + x) = 10.89 + 3.3x\]
- \[(c + 4.9) - (5.4 + c) = c + 4.9 - 5.4 - c = -0.5\]
- \[(n - 5.8) - (4.9 + n) = n - 5.8 - 4.9 - n = -10.7\]
- \[(6.08 + a) - (a + 9.3) = 6.08 + a - a - 9.3 = -3.22\]
- \[-(m - 3.8) + (4.12 + m) = -m + 3.8 + 4.12 + m = 7.92\]
- \[(2.43 + x - b) - (2.43 + b - x) = 2.43 + x - b - 2.43 - b + x = 2x - 2b\]
- \[-(1.53 - x + 1) - (x - a - 2.53) = -1.53 + x - 1 - x + a + 2.53 = a\]
- \[-(a - x) - (5.1 + x) + a - 5.1 = -a + x - 5.1 - x + a - 5.1 = -10.2\]
- \[(b - x) - (a - x) + (a - b) = b - x - a + x + a - b = 0\]
- \[(a + 3.3) \cdot (x - a) - 3.3 + x = ax - a^2 + 3.3x - 3.3a - 3.3 + x = ax - a^2 + 4.3x - 3.3a - 3.3\]
- \[(2.43 + 1.1) - (b + 2.43) + (b - 1.1) = 3.53 - b - 2.43 + b - 1.1 = 0\]
- \[(1.53 - x + a) - (x - 1.53 - a) - a = 1.53 - x + a - x + 1.53 + a - a = 3.06 - 2x + a\]
- \[-(a - 1.21) - (1 - a) - (0.21 - a) = -a + 1.21 - 1 + a - 0.21 + a = a\]
Ответ: Ниже
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