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Which expression is equivalent to 14(16a+8b+c)?

A. 4a+2b+4c4 A plus 2 b plus 4 c

B. 4a+2b+c4 A plus 2 b plus c

C. 4a+8b+c4 A plus 8 b plus c

D. 4a+2b+14c4 A plus 2 b plus 1 fourth c

User Yahfoufi
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1 Answer

14 votes
14 votes

Final answer:

The equivalent expression for 14(16a+8b+c) after distribution would be 224a + 112b + 14c, which does not match any of the provided answer choices.

Step-by-step explanation:

The question asks which expression is equivalent to 14(16a+8b+c). To find the equivalent expression, you must distribute the 14 to each term inside the parentheses. Let's do the math step by step:

  • Multiply 14 by 16a, which equals 224a.
  • Multiply 14 by 8b, which equals 112b.
  • Multiply 14 by c, which equals 14c.

Put together, the equivalent expression is 224a + 112b + 14c. However, none of the provided answer choices match this exact expression, indicating a potential error in the presented answer choices or in the question itself. The correct expression should reflect the distribution of the 14 across all terms within the parentheses.

User Nikos Fotiadis
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