Question
Use the distributive property to write an equivalent expression. \[ 9(6 t-2 v+9) \]
Ask by Rodriquez Dawson. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Use the distributive property to multiply 9 by each term inside the parentheses: \(9 \times 6t = 54t\), \(9 \times (-2v) = -18v\), and \(9 \times 9 = 81\). Combine these to get \(54t - 18v + 81\).
Solution
To use the distributive property on the expression \( 9(6t - 2v + 9) \), you multiply the number outside the parentheses (which is 9) by each term inside the parentheses individually.
Here's how it's done step by step:
1. **Multiply 9 by \(6t\):**
\[
9 \times 6t = 54t
\]
2. **Multiply 9 by \(-2v\):**
\[
9 \times (-2v) = -18v
\]
3. **Multiply 9 by \(9\):**
\[
9 \times 9 = 81
\]
4. **Combine all the results:**
\[
54t - 18v + 81
\]
**Final Answer:**
\[
54t - 18v + 81
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To distribute the 9 across each term in the parentheses, you'll multiply 9 by each term inside: Starting with the first term, \( 9 \times 6t = 54t \). Next, for the second term, \( 9 \times (-2v) = -18v \). Lastly, the third term gives you \( 9 \times 9 = 81 \). Putting it all together, the equivalent expression will be: \[ 54t - 18v + 81 \] Now you've transformed the expression while keeping it mathematically equivalent!
