Expand 2/5(−5c+10) .(1 point)

Question

Responses

2c−10
2c minus 10

2c−4
2c minus 4

−2c+4
negative 2c plus 4

−2c+10

Answer 1

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

1. Distribute \( \frac{2}{5} \) to both terms inside the parentheses: \[ \frac{2}{5} \times -5c + \frac{2}{5} \times 10 \]

2. Calculate each term:

   • For \( \frac{2}{5} \times -5c \): \[ = -\frac{10c}{5} = -2c \]
   • For \( \frac{2}{5} \times 10 \): \[ = \frac{20}{5} = 4 \]

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

Thus, the expanded form of the expression is \( -2c + 4 \).

From the given responses, the correct answer is: −2c+4 (negative 2c plus 4)