Expand 2/5(−5c+10).(1 point)

Question

Responses

2c−4
2c minus 4

−2c+4
negative 2c plus 4

−2c+10
negative 2c plus 10

2c−10

Answer 1

To expand the expression \( \frac{2}{5}(-5c + 10) \), follow these steps:

1. Distribute \( \frac{2}{5} \) to each term inside the parentheses: \[ \frac{2}{5} \cdot (-5c) + \frac{2}{5} \cdot 10 \]

2. Calculate each term:

   • For the first term: \[ \frac{2}{5} \cdot (-5c) = -2c \]
   • For the second term: \[ \frac{2}{5} \cdot 10 = \frac{20}{5} = 4 \]

3. Combine the results: \[ -2c + 4 \]

So the expanded expression is: \[ -2c + 4 \]

The correct response is −2c+4 (negative 2c plus 4).