Expand −5/8(3p+8)

Question

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Answer 1

To expand the expression \(-\frac{5}{8}(3p + 8)\), we will distribute \(-\frac{5}{8}\) to each term inside the parentheses:

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

Now, calculate 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, combine both terms:

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

Thus, the expanded expression is:

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