Question
\begin{tabular}{|l|}\hline Write an equivalent expression for \( 48+18 x \). \\ \hline\end{tabular}
Ask by Stewart Wood. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equivalent expression is \(6(8 + 3x)\).
Solution
1. Identify the common factor in the coefficients \(48\) and \(18\).
The greatest common factor (GCF) of \(48\) and \(18\) is \(6\).
2. Factor \(6\) out of the expression:
\[
48+18x = 6 \cdot 8 + 6 \cdot 3x
\]
3. Write the factored form of the expression:
\[
48+18x = 6(8+3x)
\]
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Simplify this solution Beyond the Answer
One fun way to express \( 48 + 18x \) is to factor out the common factor from both terms! You can notice that both terms share a factor of 6. This means you can rewrite the expression as \( 6(8 + 3x) \). This factorization makes calculations easier, especially when you’re working with similar expressions! Speaking of expressions, did you know that mastering factoring can significantly improve your algebra skills? As you practice more with different expressions, you'll become quicker and more efficient at solving equations. Don't shy away from utilizing techniques like grouping or special products—these can turn daunting problems into manageable tasks!
