学帮网(a四次方-a³+a²)/(a³+1)-(a四次方+a³+a²)/(a³-1)约分化简求值
来源：学生作业学帮网 编辑：学帮网 时间：2024/06/29 02:07:26
(a四次方-a³+a²)/(a³+1)-(a四次方+a³+a²)/(a³-1)约分化简求值
原式=a²(a²-a+1)/(a+1)(a²-a+1)-a²(a²+a+1)/(a-1)(a²+a+1)
=a²/(a+1)-a²/(a-1)
=a²[1/(a+1)-1/(a-1)]
=a²[(a-1-a-1)/(a+1)(a-1)]
=-2a²/(a²-1)
(a四次方-a³+a²)/(a³+1)-(a四次方+a³+a²)/(a³-1)
=a²(a²-a+1)/(a+1)(a²-a+1)-a²(a²+a+1)/(a-1)(a²+a+1)
=a²/(a+1)-a²/(a-1)
=a²[(a-1)-(a+1)]/(a+1)(a-1)
=-2a²/(a²-1)