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Use the distributive property to remove the parentheses. \[ (5-5 x+3 u)(-2) \]

Ask by Smith Salazar. in the United States
Mar 14,2025

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Tutor-Verified Answer

Answer

\[ -10 + 10x - 6u \]

Solution

1. Begin with the expression: \[ (5 - 5x + 3u)(-2) \] 2. Distribute \(-2\) to each term inside the parentheses: \[ -2(5) + -2(-5x) + -2(3u) \] 3. Simplify each multiplication: \[ -10 + 10x - 6u \] 4. Therefore, the expression after applying the distributive property is: \[ -10 + 10x - 6u \]

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To use the distributive property, you multiply each term inside the parentheses by -2. Here we go! First, distribute -2 to each term: \[ -2(5) + -2(-5x) + -2(3u) \] This results in: \[ -10 + 10x - 6u \] So, the expression after removing the parentheses is: \[ 10x - 6u - 10 \]

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