Simplify the expression.

−1/2(−6x+3)

(1 point)
Responses

−3x−3

−3x+3/2

3x+3

3x−3/2

1 answer

To simplify the expression \(-\frac{1}{2}(-6x + 3)\), follow these steps:

  1. Distribute \(-\frac{1}{2}\) to each term inside the parentheses: \[ -\frac{1}{2} \cdot (-6x) + -\frac{1}{2} \cdot (3) \]

  2. Calculate each term:

    • For the first term: \[ -\frac{1}{2} \cdot (-6x) = 3x \]
    • For the second term: \[ -\frac{1}{2} \cdot (3) = -\frac{3}{2} \]
  3. Combine the results: \[ 3x - \frac{3}{2} \]

Thus, the simplified expression is \(3x - \frac{3}{2}\).

The correct response is:

3x - 3/2