Question
Multiply/ expand using the distributive pre \( 8(-8 a-7 b) \)
Ask by Huang Mitchell. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-64a - 56b
\]
Solution
To expand the expression \( 8(-8a - 7b) \) using the distributive property, you multiply each term inside the parentheses by 8:
\[
8 \times (-8a) + 8 \times (-7b)
\]
Calculating each multiplication:
\[
8 \times (-8a) = -64a
\]
\[
8 \times (-7b) = -56b
\]
Now, combine the results:
\[
-64a - 56b
\]
**Final Answer:**
\[
-64a - 56b
\]
Reviewed and approved by the UpStudy tutoring team
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Let’s break it down! You want to distribute the \( 8 \) across the terms inside the parentheses. So you take \( 8 \) and multiply it by each term inside: First, \( 8 \times -8a = -64a \) and then \( 8 \times -7b = -56b \). Putting it all together, the expanded form is: \[ -64a - 56b \] And there you have it!