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:

$$-\frac{15}{8}p-5$$