Question
Use the distributive property to remove the parentheses. \( 8(6-u) \)
Ask by King Nichols. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 48 - 8u \)
Solution
1. Apply the distributive property:
\[
8(6-u)=8 \cdot 6 - 8 \cdot u
\]
2. Compute the multiplications:
\[
8 \cdot 6 = 48 \quad \text{and} \quad 8 \cdot u = 8u
\]
3. Write the simplified expression:
\[
48 - 8u
\]
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Extra Insights
To remove the parentheses using the distributive property, simply multiply the term outside the parentheses by each term inside. So, for \( 8(6 - u) \), you would do \( 8 \times 6 \) and \( 8 \times (-u) \). This gives you \( 48 - 8u \). Voilà! You've successfully distributed! If you ever feel puzzled about which terms to multiply, just remember: the "distributive property" is like sharing treats; whatever is outside the parentheses gets shared with everything inside—equally and fairly!