Question

rút gọn P = \(\left(\dfrac{x-4}{x^2-2x}+\dfrac{2}{x-2}\right):\left(\dfrac{x+2}{x}-\dfrac{x}{x-2}\right)\)

Answer 1

`((x-4)/(x^2 - 2x)+2/(x-2)):((x+2)/x - x/(x-2))`

`= (\frac{x-4}{x(x - 2)} + \frac{2x}{x(x - 2)}) :(\frac{(x+2)(x-2)}{x(x - 2)} - \frac{x^2}{x(x - 2)})`

`= (3x-4)/(x(x-2)) : \frac{-4}{x(x - 2)}`

`= -(3x-4)/4`