Expand 2/5(−5c+10) .(1 point)

Answer 1

To expand the expression \( \frac{2}{5}(-5c + 10) \), you distribute \( \frac{2}{5} \) to each term inside the parentheses:

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

Calculating each part:

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

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

Now, combine the two results:

\[ -2c + 4 \]

Thus, the expanded expression is:

\[ -2c + 4 \]