1. **State the problem:** Simplify the expression $$\frac{8r}{5} - \frac{rs^2}{4}$$. 2. **Find a common denominator:** The denominators are 5 and 4. The least common denominator (LCD) is 20. 3. **Rewrite each fraction with the LCD:** $$\frac{8r}{5} = \frac{8r \times 4}{5 \times 4} = \frac{32r}{20}$$ $$\frac{rs^2}{4} = \frac{rs^2 \times 5}{4 \times 5} = \frac{5rs^2}{20}$$ 4. **Subtract the fractions:** $$\frac{32r}{20} - \frac{5rs^2}{20} = \frac{32r - 5rs^2}{20}$$ 5. **Factor the numerator if possible:** $$32r - 5rs^2 = r(32 - 5s^2)$$ 6. **Final simplified expression:** $$\frac{r(32 - 5s^2)}{20}$$ This is the simplified form of the original expression.