Question
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2) \( -1(3-4)+6(2-3+1)+7-1 \)

Ask by Allan Frank. in Argentina
Mar 10,2025

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Tutor-Verified Answer

Answer

El resultado de la expresión es 7.

Solution

Para resolver la expresión \( -1(3-4)+6(2-3+1)+7-1 \), seguiremos los pasos a continuación: 1. **Resolver las operaciones dentro de los paréntesis:** - Para \( 3 - 4 \): \[ 3 - 4 = -1 \] - Para \( 2 - 3 + 1 \): \[ 2 - 3 = -1 \quad \text{y luego} \quad -1 + 1 = 0 \] 2. **Sustituir los resultados en la expresión original:** \[ -1(-1) + 6(0) + 7 - 1 \] 3. **Realizar las multiplicaciones:** - Para \( -1(-1) \): \[ -1 \times -1 = 1 \] - Para \( 6(0) \): \[ 6 \times 0 = 0 \] 4. **Sustituir los resultados de las multiplicaciones:** \[ 1 + 0 + 7 - 1 \] 5. **Realizar las sumas y restas:** - Primero sumamos \( 1 + 0 = 1 \) - Luego sumamos \( 1 + 7 = 8 \) - Finalmente restamos \( 8 - 1 = 7 \) Por lo tanto, el resultado de la expresión \( -1(3-4)+6(2-3+1)+7-1 \) es \( 7 \).

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Let’s break it down step by step for clarity and some fun along the way! First, we simplify inside the parentheses: - \(3-4 = -1\) - \(2-3+1 = 0\) Now substituting back into the equation: \(-1(-1) + 6(0) + 7 - 1\) Now, we do the multiplication: - \(-1(-1) = 1\) - \(6(0) = 0\) So now we have: \(1 + 0 + 7 - 1\) Finally, combine those numbers: \(1 + 0 + 7 - 1 = 7\) Thus, the final answer is \( \boxed{7} \).

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