作业帮[a-a/(a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+4a+4)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 00:47:48
![[a-a/(a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+4a+4)](/uploads/image/z/5170468-4-8.jpg?t=%5Ba-a%2F%28a%2B1%29%5D%C3%B7%28a%26%23178%3B-2a%29%2F%28a%26%23178%3B-4%29%C3%97%28a%2B1%29%2F%28a%26%23178%3B%2B4a%2B4%29)
[a-a/(a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+4a+4)
[a-a/(a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+4a+4)
[a-a/(a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+4a+4)
a²/a+1 *(a+2)/a *(a+1)/(a+2)²=a
=[a(a+1)/(a+1)-a/(a+1)]÷a(a-2)/(a+2)(a-2)×(a+1)/(a+2)²
=(a²+a-a)/(a+1)÷a/(a+2) ×(a+1)/(a+2)²
=a²/(a+1)×(a+2)/a ×(a+1)/(a+2)²
=a/(a+2)