Answer
$\frac{5x-6}{x(x-1)}$
Work Step by Step
We form a common denominator, then add, factor, and simplify:
$\displaystyle \frac{2}{x}+\frac{3}{x-1}-\frac{4}{x^{2}-x}=\frac{2}{x}+\frac{3}{x-1}-\frac{4}{x(x-1)}=\frac{2(x-1)}{x(x-1)}+\frac{3x}{x(x-1)}+\frac{-4}{x(x-1)}=\frac{2x-2+3x-4}{x(x-1)}=\frac{5x-6}{x(x-1)}$
