Expand 2/5(−5c+10)

Question

.(1 point)
Responses

2c−10
2c minus 10

−2c+4
negative 2c plus 4

2c−4
2c minus 4

−2c+10

Answer 1

To expand the expression \( \frac{2}{5}(-5c + 10) \), we can distribute \( \frac{2}{5} \) to both terms inside the parentheses.

1. For the first term: \[ \frac{2}{5} \cdot (-5c) = -2c \]

2. For the second term: \[ \frac{2}{5} \cdot 10 = \frac{20}{5} = 4 \]

Now, combining both results, we have: \[ -2c + 4 \]

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

Thus, the correct response is: −2c + 4 (negative 2c plus 4).