Question
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
Upstudy AI Solution
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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Simplify this solution Bonus Knowledge
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: \[ 10x - 6u - 10 \]
