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QuizMultiple Choice

Simplifying Expressions — Quiz

Question 1 • Mathematics I

What is the simplified expression for negative 3 c d minus d times open paren 2 c minus 4 close paren minus 4 d ?

Answer
A
negative 5 c d
B
c d minus 8 d
C
negative 5 c d minus 8 d
D
5 c d minus 8 d

Explanation

Distribute −d across the parentheses: −d(2c − 4) = −2cd + 4d. Then combine like terms: −3cd − 2cd + 4d − 4d = −5cd, since the d terms cancel. The simplified expression is negative 5cd, choice A.

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