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

问题描述:

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