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Задача Задача №2375899
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Аноним
29 ноября 2024 18:14 · публичный вопрос
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Аноним

5(2*4+7)-0(8-21*4)=4(5*4+3)-6*4+3

Нейросеть29 ноября 2024 18:14

Let's simplify both sides of the equation step by step.

Left Side: We start with the left side: \[ 5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) \]

  1. Calculate \(2 \cdot 4\): \[ 2 \cdot 4 = 8 \]
  2. Add \(7\): \[ 8 + 7 = 15 \]
  3. Multiply by \(5\): \[ 5 \cdot 15 = 75 \]
  4. Calculate \(21 \cdot 4\): \[ 21 \cdot 4 = 84 \]
  5. Calculate \(8 - 84\): \[ 8 - 84 = -76 \]
  6. Multiply by \(0\): \[ 0 \cdot (-76) = 0 \]

Now, combining the left side: \[ 75 - 0 = 75 \]

Right Side: Now for the right side: \[ 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3 \]

  1. Calculate \(5 \cdot 4\): \[ 5 \cdot 4 = 20 \]
  2. Add \(3\): \[ 20 + 3 = 23 \]
  3. Multiply by \(4\): \[ 4 \cdot 23 = 92 \]
  4. Calculate \(6 \cdot 4\): \[ 6 \cdot 4 = 24 \]

Now combine: \[ 92 - 24 + 3 \]

  1. Subtract \(24\): \[ 92 - 24 = 68 \]
  2. Add \(3\): \[ 68 + 3 = 71 \]

Final comparison: Now we have: \[ 75 \quad \text{(left side)} \\ 71 \quad \text{(right side)} \]

The two sides are not equal. Therefore, the statement \(5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) = 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3\) is not true.

5(2*4+7)-0(8-21*4)=4(5*4+3)-6*4+3
Let's simplify both sides of the equation step by step. **Left Side:** We start with the left side: \[ 5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) \] 1. Calculate \(2 \cdot 4\): \[ 2 \cdot 4 = 8 \] 2. Add \(7\): \[ 8 + 7 = 15 \] 3. Multiply by \(5\): \[ 5 \cdot 15 = 75 \] 4. Calculate \(21 \cdot 4\): \[ 21 \cdot 4 = 84 \] 5. Calculate \(8 - 84\): \[ 8 - 84 = -76 \] 6. Multiply by \(0\): \[ 0 \cdot (-76) = 0 \] Now, combining the left side: \[ 75 - 0 = 75 \] **Right Side:** Now for the right side: \[ 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3 \] 1. Calculate \(5 \cdot 4\): \[ 5 \cdot 4 = 20 \] 2. Add \(3\): \[ 20 + 3 = 23 \] 3. Multiply by \(4\): \[ 4 \cdot 23 = 92 \] 4. Calculate \(6 \cdot 4\): \[ 6 \cdot 4 = 24 \] Now combine: \[ 92 - 24 + 3 \] 5. Subtract \(24\): \[ 92 - 24 = 68 \] 6. Add \(3\): \[ 68 + 3 = 71 \] **Final comparison:** Now we have: \[ 75 \quad \text{(left side)} \\ 71 \quad \text{(right side)} \] The two sides are not equal. Therefore, the statement \(5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) = 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3\) is not true.