Question
Distributive property integer costicients Use the distributive property to remove the parentheses. \[ (-5+2 x+3 w)(-6) \]
Ask by Harris Whittaker. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
30 - 12x - 18w
\]
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Reviewed and approved by the UpStudy tutoring team
Like
Beyond the Answer
To use the distributive property here, you'll multiply each term within the parentheses by -6. So, let's break it down: 1. Multiply -6 by -5: \( -6 \times -5 = 30 \) 2. Multiply -6 by \( 2x \): \( -6 \times 2x = -12x \) 3. Multiply -6 by \( 3w \): \( -6 \times 3w = -18w \) Now, combine all the results together: \[ (-5 + 2x + 3w)(-6) = 30 - 12x - 18w \] Voilà! You've successfully removed the parentheses by applying the distributive property.
