Expand 2/5(−5c+10) .(1 point)

Question

Responses

2c−4
2c minus 4

2c−10
2c minus 10

−2c+10
negative 2c plus 10

−2c+4

Answer 1

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

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

Calculating each term:

1. \( \frac{2}{5} \cdot (-5c) = -2c \)
2. \( \frac{2}{5} \cdot 10 = \frac{20}{5} = 4 \)

Putting it all together:

\[ -2c + 4 \]

So the expanded expression is:

\(-2c + 4\)

The correct response is:

−2c + 4