Expand 2/5(−5c+10)

Question

.(1 point)
Responses

−2c+4
negative 2c plus 4

2c−4
2c minus 4

−2c+10
negative 2c plus 10

2c−10

Answer 1

To expand \( \frac{2}{5}(-5c + 10) \), we distribute \( \frac{2}{5} \) to each term inside the parentheses:

1. Distributing \( \frac{2}{5} \) to \( -5c \): \[ \frac{2}{5} \times (-5c) = -\frac{2 \times 5c}{5} = -2c \]

2. Distributing \( \frac{2}{5} \) to \( 10 \): \[ \frac{2}{5} \times 10 = \frac{2 \times 10}{5} = \frac{20}{5} = 4 \]

Now, combining these results: \[ -2c + 4 \]

Therefore, the expanded expression is: \[ \boxed{-2c + 4} \]

The correct response is: −2c+4.