Question

一道数学题，各位帮忙解答一下吧！

x³ - 1
／
x(x - 1) 将这个化简 ／：表示分数线

Answer 1

楼上把公式弄错啦~~~
x^3-1应该=(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)/x
=x-1+1/x

Answer 2

（x^3-1)/(x(x-1))
=(x-1)(x^2+x+1)/(x(x-1))
=(x^2+x+1)/x
=x+1+1/x

Answer 3

(x^3-1)/[x*(x-1)]=[(x-1)(x^2+x+1)]/[x(x-1)]=(x^2+x+1)/x

Answer 4

（x^3-1)/(x(x-1))
=(x-1)(x^2+x+1)/(x(x-1))
=(x^2+x+1)/x
=x+1/x +1

Answer 5

(x-1)(x^2+x+1)
/
x(x-1)
= (x^2+x+1)/x=x+1+1/x