Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 6ab + 12a \)
Solution
1. Start with the expression:
\[
2a(3b+6)
\]
2. Distribute \(2a\) to each term inside the parentheses:
\[
2a \times 3b = 6ab \quad \text{and} \quad 2a \times 6 = 12a
\]
3. Combine the results:
\[
6ab + 12a
\]
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Simplify this solution Extra Insights
Did you know that factoring can help simplify expressions like \( 2a(3b + 6) \)? By factoring out the common factors, you streamline your calculations. Here, you can factor out \( 3 \) from the parentheses, leading to \( 2a \cdot 3(b + 2) \), which can make certain algebraic problems much easier to solve! When working with expressions, a common mistake is forgetting to distribute correctly. For example, if you incorrectly expand \( 2a(3b + 6) \), you might write \( 2a \cdot 3b + 6 \) without considering the multiplier of \( 2a \) for both terms. Always remember to apply the distributive property on both terms for the correct result!
