Question
Find the product. Simplify your answer. \( -6\left(-2 j^{2}+3 j-1\right) \)
Ask by Harper Lang. in the United States
Feb 05,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 12j^{2} - 18j + 6 \)
Solution
To find the product \( -6\left(-2 j^{2} + 3 j - 1\right) \) and simplify the expression, follow these steps:
1. **Distribute \(-6\) to each term inside the parentheses:**
\[
-6 \times (-2j^{2}) + (-6) \times 3j + (-6) \times (-1)
\]
2. **Perform the multiplication for each term:**
\[
12j^{2} - 18j + 6
\]
3. **Combine the terms (if necessary):**
Since all terms are unlike terms, the expression is already simplified.
**Final Answer:**
\[
12j^{2} - 18j + 6
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the product \( -6\left(-2 j^{2}+3 j-1\right) \), we'll distribute \( -6 \) to each term inside the parentheses. First, we multiply: - \( -6 \times -2j^{2} = 12j^{2} \), - \( -6 \times 3j = -18j \), - \( -6 \times -1 = 6 \). Putting it all together, we have: \[ 12j^{2} - 18j + 6. \] So, the simplified answer is: \[ 12j^{2} - 18j + 6. \]
