Expand 2/5(−5c+10)

Question

.(1 point)
Responses

−2c+4
negative 2c plus 4

2c−10
2c minus 10

2c−4
2c minus 4

−2c+10

Answer 1

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

\[ \frac{2}{5} \cdot (-5c) + \frac{2}{5} \cdot 10 \]

Calculating each term:

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

2. For \( \frac{2}{5} \cdot 10 \): \[ \frac{2 \cdot 10}{5} = \frac{20}{5} = 4 \]

Now, combine the results:

\[ -2c + 4 \]

So the final expanded expression is:

\[ -2c + 4 \]

The correct response is:

−2c + 4