Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
El resultado de la expresión \( 2+4[3-(2-4)-2(4+5)] \) es \(-50\).
Solution
Calculate the value by following steps:
- step0: Calculate:
\(2+4\left(3-\left(2-4\right)-2\left(4+5\right)\right)\)
- step1: Subtract the numbers:
\(2+4\left(3-\left(-2\right)-2\left(4+5\right)\right)\)
- step2: Remove the parentheses:
\(2+4\left(3+2-2\left(4+5\right)\right)\)
- step3: Add the numbers:
\(2+4\left(3+2-2\times 9\right)\)
- step4: Multiply the numbers:
\(2+4\left(3+2-18\right)\)
- step5: Calculate:
\(2+4\left(-13\right)\)
- step6: Multiply the numbers:
\(2-52\)
- step7: Subtract the numbers:
\(-50\)
Para resolver la expresión \( 2+4[3-(2-4)-2(4+5)] \), seguimos estos pasos:
1. **Resolvemos el paréntesis interno**:
- Primero, calculamos \( 2 - 4 = -2 \).
- Luego, calculamos \( 4 + 5 = 9 \), así que \( 2(4 + 5) = 2 \times 9 = 18 \).
2. **Sustituimos estos valores en la expresión**:
\[
2 + 4[3 - (-2) - 18]
\]
3. **Simplificamos dentro del corchete**:
- \( 3 - (-2) = 3 + 2 = 5 \).
- Ahora, tenemos \( 5 - 18 = -13 \).
4. **Sustituimos de nuevo**:
\[
2 + 4[-13]
\]
5. **Multiplicamos**:
\[
4 \times -13 = -52
\]
6. **Finalmente, sumamos**:
\[
2 - 52 = -50
\]
Por lo tanto, el resultado de la expresión es \(-50\).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve the expression \( 2+4[3-(2-4)-2(4+5)] \), we start by simplifying inside the brackets. First, calculate \( 2 - 4 \), which equals -2. Then, \( 4 + 5 \) equals 9, so \( 2(4 + 5) \) is \( 2 \times 9 = 18 \). Now we substitute back into the expression: \[ 3 - (-2) - 18 \] This simplifies to: \[ 3 + 2 - 18 = 5 - 18 = -13 \] Now, substituting back into our original equation gives: \[ 2 + 4[-13] = 2 - 52 = -50 \] So the final answer is \( -50 \). Feel free to double-check the calculations, as small oversights can sometimes happen during simplifications!
