Question
Use the distributive property to remove the parentheses. \( -9(4 w-2 u-1) \)
Ask by Dickson Griffiths. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-36w + 18u + 9\)
Solution
1. Multiply \(-9\) by each term inside the parentheses:
- \( -9 \times 4w = -36w \)
- \( -9 \times (-2u) = 18u \)
- \( -9 \times (-1) = 9 \)
2. Combine the results to get:
\[
-36w + 18u + 9
\]
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Extra Insights
To remove the parentheses using the distributive property, you multiply each term inside the parentheses by \(-9\). So, we apply it like this: \(-9 \times 4w = -36w\), \(-9 \times -2u = +18u\), \(-9 \times -1 = +9\). Putting it all together, the expression simplifies to: \(-36w + 18u + 9\). So, \( -9(4w - 2u - 1) = -36w + 18u + 9\).