Question
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Multiply/ expand using the distributive pre \( 8(-8 a-7 b) \)

Ask by Huang Mitchell. in the United States
Jan 24,2025

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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:** \[ -64a - 56b \]

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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!

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