Question

\(-\dfrac{x^2+5x-6}{x^2-x}\)

Answer 1

\(-\dfrac{x^2+5x-6}{x^2-x}\\ =-\dfrac{x^2+6x-x-6}{x\left(x-1\right)}\\ =-\dfrac{\left(x+6\right)\left(x-1\right)}{x\left(x-1\right)}\\ =-\dfrac{x+6}{x}\\ =-1-\dfrac{6}{x}\)

Answer 2

= -(x-2)(x-3)/x(x-2)
= -x+3/x

 

Answer 3

`-(x^2 + 5x - 6)/(x^2 - x)`

`=-(x^2 - x + 6x - 6)/(x(x-1))`

`=-(x(x-1) + 6(x-1))/(x(x-1))`

`=-((x+6)(x-1))/(x(x-1))`

`=-(x+6)/x`