Question
Which of the following is equivalent to \( 40 c-16 d \) ? \( \begin{array}{ll}\text { a } & 4(10 c+4 d) \\ \text { b } & 8(5 c-16 d) \\ \text { c } & 4(10 c-4 d) \\ \text { d } & 8(5 c-2 d)\end{array} \)
Ask by John Gardner. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Both choices c and d are equivalent to \(40c - 16d\).
Solution
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Extra Insights
To determine which option is equivalent to \( 40 c - 16 d \), let's simplify each option. - **Option a**: \( 4(10 c + 4 d) = 40 c + 16 d \) (not equivalent) - **Option b**: \( 8(5 c - 16 d) = 40 c - 128 d \) (not equivalent) - **Option c**: \( 4(10 c - 4 d) = 40 c - 16 d \) (equivalent!) - **Option d**: \( 8(5 c - 2 d) = 40 c - 16 d \) (also equivalent!) So, the correct answers are options **c** and **d**: - **c**: \( 4(10 c - 4 d) \) - **d**: \( 8(5 c - 2 d) \)
