Question

Expand −5/8(3p+8)
.(1 point)
Responses

3p + 8
3p + 8

−15/8 + 3p
−158 + 3p

−158 p−5
−15/8 p−5

−15p + (−40)

Answer 1

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

\[
-\frac{5}{8}(3p) + -\frac{5}{8}(8)
\]

Calculating each term separately:

1. For the first term:
\[
-\frac{5}{8} \cdot 3p = -\frac{15}{8}p
\]

2. For the second term:
\[
-\frac{5}{8} \cdot 8 = -5
\]

Now, combining these results, we get:

\[
-\frac{15}{8}p - 5
\]

So, the expanded expression is

\[
-\frac{15}{8}p - 5
\]

This matches with the option:

\(-\frac{15}{8}p - 5\)

Let me know if there's anything else I can assist you with!