Question

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​

Answer 1

C. Both expressions involve addition.

Explanation:

I tried it, and it was correct

Answer 2

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

Explanation:

Given

`3(x + 2) = 3x + 6`

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:

`a*(b + c) = a*b + a * c`

In this case:

`a = 3`
`b = x` and
`c = 2`

So:

`a*(b + c) = a*b + a * c`

Substitute values for a, b and c

`3*(x + 2) = 3 * x + 3 * 2`

`3(x + 2) = 3x + 6`