Question
Clever 9:36 AM Tue Feb 4 100\% AA www-awu.aleks.com 3D design Magnificent Robo-Am... front porches - Google Search UpStudy Thoth AI A ALEKS - Mollie Fansler - Learn Integers and Rational Numbers \( 1 / 5 \) Mollie Distributive property: Whole number coefficients Español Use the distributive property to remove the parentheses. \[ 12(7-v) \] \( \square \) \( \square \) Aa Explanation Check © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility
Ask by Bartlett Bright. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 84 - 12v \)
Solution
To use the distributive property to remove the parentheses in the expression \( 12(7 - v) \), follow these steps:
**Distributive Property Formula:**
\[
a(b - c) = ab - ac
\]
**Apply the Distributive Property:**
\[
12(7 - v) = 12 \times 7 - 12 \times v
\]
**Calculate Each Term:**
\[
12 \times 7 = 84
\]
\[
12 \times v = 12v
\]
**Combine the Results:**
\[
84 - 12v
\]
**Final Answer:**
\[
84 - 12v
\]
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Simplify this solution The Deep Dive
The distributive property allows you to multiply a single term across the terms within parentheses, making calculations simpler. For instance, in the expression \( 12(7-v) \), you would multiply 12 by each term inside the parentheses, leading to \( 12 \times 7 - 12 \times v \), which simplifies to \( 84 - 12v \). Voilà! Using the distributive property correctly can save you a lot of mental gymnastics! A common mistake is forgetting to distribute to both terms in parentheses, resulting in incomplete answers. Remember: always multiply each term inside, even when variables get involved! Here's your chance to shine and avoid those pesky missteps!
