Question
4. [-/2.77 Points] DETAILS Evaluate the expression. \( \frac{4(-8)-11+1}{4^{2}-3^{2}} \) Need Help? Road It Submit Answer
Ask by Gonzalez Newton. in Colombia
Nov 23,2024
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Answer
El resultado de la expresión \( \frac{4(-8)-11+1}{4^{2}-3^{2}} \) es -6.
Solution
Calculate or simplify the expression \( (4*(-8)-11+1)/(4^2-3^2) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(4\left(-8\right)-11+1\right)}{\left(4^{2}-3^{2}\right)}\)
- step1: Remove the parentheses:
\(\frac{4\left(-8\right)-11+1}{4^{2}-3^{2}}\)
- step2: Multiply the numbers:
\(\frac{-32-11+1}{4^{2}-3^{2}}\)
- step3: Calculate:
\(\frac{-42}{4^{2}-3^{2}}\)
- step4: Subtract the numbers:
\(\frac{-42}{7}\)
- step5: Divide the terms:
\(-6\)
The result of the expression \( \frac{4(-8)-11+1}{4^{2}-3^{2}} \) is -6.
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Simplify this solution Beyond the Answer
To evaluate the expression \( \frac{4(-8)-11+1}{4^{2}-3^{2}} \), let's break it down step by step. The numerator simplifies as follows: \( 4(-8) - 11 + 1 = -32 - 11 + 1 = -42 \). For the denominator, we calculate \( 4^{2} - 3^{2} = 16 - 9 = 7 \). Therefore, the full expression simplifies to \( \frac{-42}{7} = -6 \). To make calculations easier, remember to handle the operations within brackets first, and keep an eye out for signs! A common mistake is to misinterpret subtraction; double-check your signs to avoid going down the wrong path.
