Find the Common Factor in 3x+3: Breaking Down Terms

Question

The expression 3x+3 3x+3 is broken down into basic terms:

3x+3 3\cdot x+3

What is the common factor of the terms?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Break down each term of the expression 3x+3 3x + 3 .
  • Step 2: Identify the factors of each term.
  • Step 3: Determine the common factor shared by the terms.

Now, let's work through each step:
Step 1: The given expression is 3x+3 3x + 3 . It can be separated into two terms: 3x 3x and 3 3 .
Step 2: Breaking each term into factors, we have:

  • The term 3x 3x can be factored as 3x 3 \cdot x .
  • The term 3 3 can be considered as 31 3 \cdot 1 .
Step 3: Now, identify the common factor:
  • The common factor shared by the terms 3x 3x and 3 3 is 3 3 .
Therefore, the common factor of the terms in the expression 3x+3 3x + 3 is 3 3 .

Answer

3 3