怎样化简分式为整式与分子为常数的分式积[题在这啊]要过程!!

我有个整式相除时用的竖式除法...
是对小学三年级的竖式除法的推广...希望你能懂我的排版...
最好也回忆一下竖式除法是什么东东...

```````x - 4
`````_____________
x+1 / x^2 - 3x +1
``````x^2 + x
`````-------------
``````````-4x + 1
``````````-4x - 4
`````-------------
````````````````5

所以 (x+1)(x-4) + 5 = x^2 - 3x +1
即 y = (x^2 - 3x +1) / (2x+2)
`````= [(x+1)(x-4)+5] / (2x+2)
`````= (x-4)/2 + 5/(2x+2)