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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

Sagot :

Applying the distributive property, it is found that the equivalent expression is:

  • D. [tex]4a + 2b + \frac{c}{4}[/tex]

Expression

The expression given in this problem is:

[tex]\frac{1}{4}(16a + 8b + c)[/tex]

Distributive property:

Applying the distributive property, each term of the expression is multiplied by the term in front, which is [tex]\frac{1}{4}[/tex], hence:

[tex]\frac{1}{4}(16a + 8b + c) = \frac{16a}{4} + \frac{8b}{4} + \frac{c}{4} = 4a + 2b + \frac{c}{4}[/tex]

Hence, option D is correct.

To learn more about the distributive property, you can take a look at https://brainly.com/question/2416165

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