What is the simplified form of the expression 3(2x + 4)?

What is the simplified form of the expression 3(2x + 4)?

• A. 3x + 4
• B. 6x + 12
• C. 2x + 12
• D. 6x + 4

Answer: (B)

To simplify the expression 3(2x + 4), you apply the distributive property, which states that you need to multiply each term inside the parentheses by the number outside. Starting with 3 multiplied by the first term inside the parentheses, 2x: 3 * 2x = 6x. Next, you multiply 3 by the second term inside the parentheses, which is 4: 3 * 4 = 12. Now, combining these results gives you the simplified expression: 6x + 12. This is why the answer is correct. It shows a proper application of the distributive property, ensuring that each term is correctly multiplied by the factor outside the parentheses, resulting in the simplified expression.

To simplify the expression 3(2x + 4), you apply the distributive property, which states that you need to multiply each term inside the parentheses by the number outside.

Starting with 3 multiplied by the first term inside the parentheses, 2x:

3 * 2x = 6x.

Next, you multiply 3 by the second term inside the parentheses, which is 4:

3 * 4 = 12.

Now, combining these results gives you the simplified expression:

6x + 12.

This is why the answer is correct. It shows a proper application of the distributive property, ensuring that each term is correctly multiplied by the factor outside the parentheses, resulting in the simplified expression.