Simplify: 4(3x - 2) =

Simplify: 4(3x - 2) =

• A. A) 12x - 2
• B. B) 12x - 8
• C. C) 7x - 8
• D. D) 12x + 8

Answer: (B)

To simplify the expression \(4(3x - 2)\), you apply the distributive property. This involves multiplying each term inside the parentheses by 4. First, distribute the 4 to the first term, which is \(3x\): \[ 4 \times 3x = 12x \] Next, distribute the 4 to the second term, which is \(-2\): \[ 4 \times (-2) = -8 \] Putting it all together, you combine the results: \[ 12x - 8 \] Thus, the simplified expression is \(12x - 8\), which matches the correct answer choice. Understanding the distributive property is crucial here, as it forms the foundation of simplifying such expressions accurately.

To simplify the expression (4(3x - 2)), you apply the distributive property. This involves multiplying each term inside the parentheses by 4.

First, distribute the 4 to the first term, which is (3x):

[ 4 \times 3x = 12x ]

Next, distribute the 4 to the second term, which is (-2):

[ 4 \times (-2) = -8 ]

Putting it all together, you combine the results:

[ 12x - 8 ]

Thus, the simplified expression is (12x - 8), which matches the correct answer choice. Understanding the distributive property is crucial here, as it forms the foundation of simplifying such expressions accurately.