Question
3. Rewrite \( 6(a+2)-3 a \) \( 6 a-3 \) b. \( 3 a+12 \) c. \( 9 a \) d. \( 3 a+6 \)
Ask by Riley Matthews. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct rewritten expression is \(3a + 12\).
Solution
1. Start with the expression:
\[
6(a+2)-3a.
\]
2. Distribute \(6\) across the parentheses:
\[
6 \cdot a + 6 \cdot 2 - 3a = 6a + 12 - 3a.
\]
3. Combine like terms (\(6a\) and \(-3a\)):
\[
(6a - 3a) + 12 = 3a + 12.
\]
The correct rewritten expression is:
\[
3a+12.
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
Let's first simplify \( 6(a+2)-3a \). When we distribute the \( 6 \) into the parentheses, we get \( 6a + 12 - 3a \). Now, combine the like terms \( 6a - 3a \), which simplifies to \( 3a + 12 \). So, the rewritten expression is \( 3a + 12 \), which matches option b! If you want to check understanding, you can also try distributing and combining terms with other expressions to see if you get the same results. It's a fun exercise to compare your simplification skills against different forms!
