\(\text{GIẢI :}\)
\(A=\left(\frac{x-2}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}\right):\frac{2x-2}{x}\)
\(=\left(\frac{\left(x-2\right)\left(x-3\right)}{x\left(x-3\right)}-\frac{x^2}{x\left(x-3\right)}+\frac{9}{x\left(x-3\right)}\right):\frac{2x-2}{x}\)
\(=\frac{x^2-3x-2x+6-x^2+9}{x\left(x-3\right)}:\frac{2x-2}{x}\)
\(=\frac{-5x+15}{x\left(x-3\right)}\cdot\frac{x}{2x-2}\)
\(=\frac{-5\left(x-3\right)}{x\left(x-3\right)}\cdot\frac{x}{2x-2}=\frac{-5}{2x-2}\).