Ta có: \(\frac{2x^3-13x^2+28x}{2x-1}\)
\(=\frac{2x^3-x^2-12x^2+6x+22x}{2x-1}\)
\(=\frac{x^2\left(2x-1\right)-6x\left(2x-1\right)+22x}{2x-1}\)
\(=\frac{\left(2x-1\right)\left(x^2-6x\right)}{2x-1}+\frac{22x}{2x-1}\)
\(=x^2-6x+\frac{22x}{2x-1}\)
\(=x^2-6x+\frac{22x-11+11}{2x-1}\)
\(=x^2-6x+2+\frac{11}{2x-1}\)