计算x的立方/(x-1)-x的平方-x-1

问题描述:

计算x的立方/(x-1)-x的平方-x-1

x的立方/(x-1)-x的平方-x-1
=(x^3-(x-1)(x^2+x+1))/(x-1)
=(x^3-x^3+1)/(x-1)
=1/(x-1)

x的立方/(x-1)-x的平方-x-1
= { x的立方-(x-1)(x的平方+x+1) } / (x-1)
= { x的立方-(x的立方-1) } / (x-1)
= 1 / (x-1)