Practice Problems

1. Simplify: \( (2x^3)(3x^2) \)
2. Simplify: \( \frac{8x^5}{2x^2} \)
3. Factor: \( x^2 + 5x + 6 \)
4. Factor: \( 4x^2 - 9 \)
5. Solve quadratic: \( x^2 - 5x + 6 = 0 \)
6. Complete the square: \( x^2 + 6x + ? = 0 \)
7. Solve by quadratic formula: \( 2x^2 - 4x - 6 = 0 \)
8. Simplify rational expression: \( \frac{x^2 - 9}{x^2 - 6x + 9} \)
9. Multiply rational expressions: \( \frac{2x}{x+3} \cdot \frac{x+3}{4} \)
10. Solve rational equation: \( \frac{1}{x} + \frac{2}{x+1} = 3 \)