计算,(a²-1)/(a²+4a+4)÷(a+1)/(a+2)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 14:53:20
计算,(a²-1)/(a²+4a+4)÷(a+1)/(a+2)计算,(a²-1)/(a²+4a+4)÷(a+1)/(a+2)计算,(a²-1)/(a&

计算,(a²-1)/(a²+4a+4)÷(a+1)/(a+2)
计算,
(a²-1)/(a²+4a+4)÷(a+1)/(a+2)

计算,(a²-1)/(a²+4a+4)÷(a+1)/(a+2)
[(a²-1)/(a²+4a+4)]÷[(a+1)/(a+2)]
=[(a²-1)/(a+1)]/[(a²+4a+4)/(a+2)]
=(a-1)/(a+2)

原式=(a+1)(a-1)/(a+2)² ×(a+2)/(a+1)
=[(a+1)(a-1)(a+2)]/[(a+2)²(a+1)]
=(a-1)/(a+2)