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Expression A: 3(x + 2) Expression B: 3x + 6....... Which statement does not show that these expressions are equivalent? O A. Substituting any value of x makes the expressions equivalent B. The expressions name the same number regardless of the value of x. O C. Both expressions involve addition. O D. 3(x+2) can be rewritten as 3x + 6 using the distributive property. SUBMIT E PREVIOUS​

Respuesta :

MrRoyal

Answer:

D. 3(x+2) can be rewritten as 3x + 6 using the distributive property

Step-by-step explanation:

Given

[tex]3(x + 2) = 3x + 6[/tex]

Required

Explain

From the list of given options, option D answers the question.

This is because, the expression above involves distributive property and only option D correctly states that.

A distributive property is:

[tex]a*(b + c) = a*b + a * c[/tex]

In this case:

[tex]a = 3[/tex]  [tex]b = x[/tex]   and [tex]c = 2[/tex]

So:

[tex]a*(b + c) = a*b + a * c[/tex]

Substitute values for a, b and c

[tex]3*(x + 2) = 3 * x + 3 * 2[/tex]

[tex]3(x + 2) = 3x + 6[/tex]

27achen

Answer:

C. Both expressions involve addition.

Step-by-step explanation:

I tried it, and it was correct