化简(x³-1/x²+x+1)+(x³+1/x+1)-(x³-x/x-1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 11:57:17
![化简(x³-1/x²+x+1)+(x³+1/x+1)-(x³-x/x-1)](/uploads/image/z/758246-14-6.jpg?t=%E5%8C%96%E7%AE%80%28x%26%23179%3B-1%2Fx%26%23178%3B%2Bx%2B1%29%2B%28x%26%23179%3B%2B1%2Fx%2B1%29-%28x%26%23179%3B-x%2Fx-1%29)
化简(x³-1/x²+x+1)+(x³+1/x+1)-(x³-x/x-1)
化简(x³-1/x²+x+1)+(x³+1/x+1)-(x³-x/x-1)
化简(x³-1/x²+x+1)+(x³+1/x+1)-(x³-x/x-1)
已知
(x³-1)/(x²+x+1)=(x-1)
(x³+1)/(x+1)=(x²-x+1)
(x³-x)/(x-1)=(x(x²-1)/x-1)=x²+x
所以,
(x³-1)/(x²+x+1)+(x³+1)/(x+1)-(x³-x)/(x-1)
=(x-1)+(x²-x+1)+x²+x
=2x²+x
同志,题目写清楚,是(x³-1)/(x²+X+1)+(x³+1)/(X+1)-(x³-x)/(X-1)还是就是你题目上写的。