Expand 2/5(−5c+10)

Question

.(1 point)
Responses

−2c+4
negative 2c plus 4

2c−4
2c minus 4

−2c+10
negative 2c plus 10

2c−10
2c minus 10

Answer 1

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

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

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

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

Thus, the expanded form of \( \frac{2}{5}(-5c + 10) \) is: \[ \boxed{-2c + 4} \]

The correct response is: −2c + 4 (negative 2c plus 4)