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Divide \[ \begin{align} &\frac{x^2+3x+2}{x-2} \quad \text {by} \quad \frac{x^2-4}{x+3} \end{align} \ \]
Simplify \[ \frac{x^2 + 2}{x^2 - x} - \frac{3}{x - 1} \ \]
Simplify \[ \frac{y}{x} - \frac{x}{x + y} - \frac{xy}{x(x + y)} \ \]
Simplify \[ \begin{align} &\frac{x+2}{x^2-3x+2} - \frac{1}{x^2-2x} \end{align} \ \]
Simplify \[ \frac{\dfrac{1}{x} - 1}{ 1 + \dfrac{1}{x}} \ \]
Simplify \[ \frac{\dfrac{1}{x} }{ 1 + \dfrac{a}{x}} \ \]