1. **Simplify** $\frac{4}{p-3} - \frac{1}{p+2}$. 2. To subtract these fractions, find a common denominator: $(p-3)(p+2)$. 3. Rewrite each fraction with the common denominator: $$\frac{4(p+2)}{(p-3)(p+2)} - \frac{1(p-3)}{(p+2)(p-3)} = \frac{4(p+2) - (p-3)}{(p-3)(p+2)}$$ 4. Simplify the numerator: $$4p + 8 - p + 3 = 3p + 11$$ 5. So the simplified expression is: $$\frac{3p + 11}{(p-3)(p+2)}$$ --- **Problem:** Simplify $\frac{4}{p-3} - \frac{1}{p+2}$. **Answer:** $\boxed{\frac{3p + 11}{(p-3)(p+2)}}$