Question

Упростите выражение $\frac{ x^{2} -4}{ x^{2} -2x} - \frac{2}{x}$

Answer 1

$\frac{x^2-4}{x^2-2x} - \frac{2}{x} = \frac{(x+2)(x-2)}{x(x-2)} - \frac{2}{x} = \frac{x+2}{x} - \frac{2}{x} = \frac{x+2-2}{x} = \frac{x}{x} = 1$