Question

Expand 2/5(−5c+10).(1 point)
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)**.