Question

Please Help

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

Answer 1

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.