Question

use the distributive property to rewrite the expression
- 5/2(8a-2b)=

Answer 1

To use the distributive property to rewrite the expression \(-\frac{5}{2}(8a - 2b)\), you need to distribute \(-\frac{5}{2}\) to both terms inside the parentheses.

Here are the steps:

1. Distribute \(-\frac{5}{2}\) to \(8a\):
\[
-\frac{5}{2} \cdot 8a = -\frac{5 \cdot 8}{2} a = -\frac{40}{2} a = -20a
\]

2. Distribute \(-\frac{5}{2}\) to \(-2b\):
\[
-\frac{5}{2} \cdot -2b = \frac{5 \cdot 2}{2} b = \frac{10}{2} b = 5b
\]

Putting it all together, we have:
\[
-\frac{5}{2}(8a - 2b) = -20a + 5b
\]

So, the expression rewritten using the distributive property is:
\[
-20a + 5b
\]