Question

Expand 2/5(−5c+10)
.(1 point)
Responses

−2c+10
negative 2c plus 10

2c−4
2c minus 4

2c−10
2c minus 10

−2c+4

Answer 1

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

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

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

Now, combine the results:
\[
-2c + 4
\]

The expanded expression is \(-2c + 4\).

Therefore, the correct response is:
**−2c+4**.