计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 21:47:14
![计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)](/uploads/image/z/1672963-43-3.jpg?t=%E8%AE%A1%E7%AE%97%E4%B8%8B%E5%88%97%E5%90%84%E9%A2%98%3A%281%2Bx%29%28x-1%2Fx%26%23178%3B%2Bx-1-x%2Fx%26%23179%3B-x%29)
计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
原式=(x+1)[(x-1)/x(x+1)+(x-1)/x(x+1)(x-1)]
=(x+1)[(x-1)/x(x+1)+1/x(x+1)]
=(x+1)(x-1+1)/x(x+1)
=x(x+1)/x(x+1)
=1