Expand −5/8(3p+8)

Question

.(1 point)
Responses

−15p + (−40)
−15p + (−40)

−15/8 p−5
−15/8 p−5

3p + 8
3p + 8

−15/8 + 3p

Answer 1

To expand the expression \(-\frac{5}{8}(3p + 8)\), you need to distribute \(-\frac{5}{8}\) to both terms inside the parentheses.

1. Distribute to the first term, \(3p\): \[ -\frac{5}{8} \cdot 3p = -\frac{15}{8}p \]

2. Distribute to the second term, \(8\): \[ -\frac{5}{8} \cdot 8 = -5 \]

Now, combine the results: \[ -\frac{15}{8}p - 5 \]

Therefore, the expanded expression is: \[ -\frac{15}{8}p - 5 \]

None of the provided responses fully match this expansion, but the closest is: \[ -\frac{15}{8} p−5 \]

So the correct answer would be: \(-\frac{15}{8} p−5\)