x/x-1+2x+6/x^2-3x-2/x^2-x): x^2-x+4/x^2-4x+3 rút gọn

`\text{~~Holi~~}`

`(x/(x-1)+(2x+6)/(x^2-3x)-2/(x^2-x)) : (x^2-x+4)/(x^2-4x+3)`

`-> (x/(x-1)+(2x+6)/(x^2-3x)-2/(x^2-x)) . (x^2-4x+3)/(x^2-x+4)`

`-> ((x^3-3x^2+2x^2+6x-2x-6-2x+6)/(x(x-3)(x-1))) . ((x-1)(x-3))/(x^2-x+4)`

`-> (x^3-x^2+2x)/((x(x-3)(x-1))“.“((x-1)(x-3))/(x^2-x+4)`

`-> (x(x^2-x+2))/(x(x-3)) . ((x-1)(x-3))/(x^2-x+4)`

`-> (x^2-x+2)/(x-3) . (x-3)/(x^2-x+4)`

`-> (x^2-x+2).(1/(x^2-x+4))`

`-> (x^2-x+2)/(x^2-x+4)`