9/x^2-3x viết kiểu này thì chịu ..................................
\(ĐKXĐ:\hept{\begin{cases}x\ne0\\x\ne3\\x\ne1\end{cases}}\)
\(A=\left(\frac{x-3}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}\right):\frac{2x-2}{x}\)
\(\Leftrightarrow A=\frac{\left(x-3\right)^2-x^2+9}{x\left(x-3\right)}:\frac{2\left(x-1\right)}{x}\)
\(\Leftrightarrow A=\frac{x^2-6x+9-x^2+9}{x\left(x-3\right)}\cdot\frac{x}{2\left(x-1\right)}\)
\(\Leftrightarrow A=\frac{-6x+18}{2\left(x-3\right)\left(x-1\right)}\)
\(\Leftrightarrow A=\frac{-6\left(x-3\right)}{2\left(x-3\right)\left(x-1\right)}\)
\(\Leftrightarrow A=\frac{-3}{x-1}\)
