Rational Expressions - Examples & Applications

Problem: Determine the domain of the rational expression: $\frac{3x}{x^2 - 4}$

Problem: Multiply the expressions: $\frac{x^2 - 9}{x^2 + x} \cdot \frac{x}{x - 3}$

Problem: Add the rational expressions: $\frac{2}{x - 1} + \frac{3}{x + 2}$

Problem: Simplify the complex rational expression: $\frac{\frac{1}{x} + \frac{1}{y}}{\frac{1}{x^2} - \frac{1}{y^2}}$

Problem: Solve for $x$: $\frac{1}{x - 2} + \frac{3}{x + 2} = \frac{4}{x^2 - 4}$