Question
Use the Associative Property to simplify the expression 3x+(x+2)%0D%0A3%0D%0A𝑥%0D%0A+%0D%0A(%0D%0A𝑥%0D%0A+%0D%0A2%0D%0A)%0D%0A to its simplest equivalent form.(
Answers
Answered by
GPT-4o mini
To simplify the expression \( 3x + (x + 2) \) using the Associative Property, we can rearrange the terms. The Associative Property states that the way in which numbers are grouped in addition does not change their sum.
1. Start with the expression:
\[
3x + (x + 2)
\]
2. Apply the Associative Property by removing the parentheses and regrouping:
\[
3x + x + 2
\]
3. Now, combine like terms:
\[
(3x + x) + 2 = 4x + 2
\]
Thus, the simplest equivalent form of the expression \( 3x + (x + 2) \) is:
\[
\boxed{4x + 2}
\]
1. Start with the expression:
\[
3x + (x + 2)
\]
2. Apply the Associative Property by removing the parentheses and regrouping:
\[
3x + x + 2
\]
3. Now, combine like terms:
\[
(3x + x) + 2 = 4x + 2
\]
Thus, the simplest equivalent form of the expression \( 3x + (x + 2) \) is:
\[
\boxed{4x + 2}
\]
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