Khi thực hiện phép tính \(\dfrac{x}{xy-y^2}+\dfrac{2x-y}{xy-x^2}\), ta có kết quả là
\(\dfrac{x-y}{xy}\).\(\dfrac{x^2-xy+y^2}{xy\left(x-y\right)}\).\(\dfrac{x+y}{xy}\).\(\dfrac{x^2+2xy+y^2}{xy\left(x-y\right)}\).Hướng dẫn giải:\(\dfrac{x}{xy-y^2}+\dfrac{2x-y}{xy-x^2}\)
\(=\dfrac{x}{y\left(x-y\right)}+\dfrac{2x-y}{x\left(y-x\right)}\)
\(=\dfrac{x}{y\left(x-y\right)}-\dfrac{2x-y}{x\left(x-y\right)}\)
\(=\dfrac{x^2-y\left(2x-y\right)}{xy\left(x-y\right)}\)
\(=\dfrac{x^2-2xy+y^2}{xy\left(x-y\right)}\)
\(=\dfrac{\left(x-y\right)^2}{xy\left(x-y\right)}\)
\(=\dfrac{x-y}{xy}\).