楼上亩宏把公式弄错啦~~~
x^3-1应困陪该=(x-1)(x^2-x+1)
(x^3-1)/(x(x-1))
=(x-1)(x^2-x+1)/(x(x-1))
=(x^2-x+1)/汪耐蠢x
=x-1+1/x
(x^3-1)/(x(x-1))
=(x-1)(x^2+x+1)/蠢念拿历(x(x-1))
=(x^2+x+1)/带敏困x
=x+1+1/x
(x^3-1)/[x*(x-1)]=[(x-1)(x^2+x+1)]/[x(x-1)]=(x^2+x+1)/x
(和衡x^3-1)/(x(x-1))
=(x-1)(x^2+x+1)/掘腔(x(x-1))
=(x^2+x+1)/x
=x+1/判棚衫x +1
(x-1)(x^2+x+1)
/
x(x-1)
= (x^2+x+1)/x=x+1+1/x