计算或化简:[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 17:56:48
计算或化简:[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]

计算或化简:[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]
计算或化简:[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]

计算或化简:[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]
原式=[2(a+1)/(a-1)×[1/(a+1)]-(a+1)(a-1)/(a-1)²
=2/(a-1)-(a+1)/(a-1)
=(2-a-1)/(a-1)
=-(a-1)/(a-1)
=-1

[(2a+2)/(a-1)]÷(a+1)-[(a²-1)/(a²-2a+1)]
=2(a+1)/[(a-1)(a+1)]-(a+1)(a-1)/(a-1)²
=2/(a-1)-(a+1)/(a-1)
=(1-a)/(a-1)
=-1

-1