Question

which of the following expressions equivalent? 6(a + 2) 6a + 12. 3(2a + 4 A. Only expressions 1 and 2 are equivalent. b. Only expressions 1 and 3 are equivalent. C. only expressions 2 and 3 are equivalent. D. Expressions 1,2 and 3 are equivalent

Answer 1

The given expressions are

`\begin{gathered} 6(a+2) \\ 6a+12 \\ 3(2a+4) \end{gathered}`

We use the distributive property to solve the first and third expression.

`\begin{gathered} 6(a+2)=6a+12 \\ 3(2a+4)=6a+12 \end{gathered}`

Notice that all three expressions are equivalent.

Therefore, D is the answer.