作业帮[(a^2-9)/(a^2-6a+9)+(3-a)/(a+3)]×(a-3)/a
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 05:03:15
![[(a^2-9)/(a^2-6a+9)+(3-a)/(a+3)]×(a-3)/a](/uploads/image/z/7118076-12-6.jpg?t=%5B%28a%5E2-9%29%2F%28a%5E2-6a%2B9%29%2B%283-a%29%2F%28a%2B3%29%5D%C3%97%28a-3%29%2Fa)
[(a^2-9)/(a^2-6a+9)+(3-a)/(a+3)]×(a-3)/a
[(a^2-9)/(a^2-6a+9)+(3-a)/(a+3)]×(a-3)/a
[(a^2-9)/(a^2-6a+9)+(3-a)/(a+3)]×(a-3)/a
原式=[(a+3)×（a-3）/[(a-3)^2]+(3-a)/(a+3)]×(a-3)/a
=[(a+3)/(a-3)+(3-a)/(a+3)]×(a-3)/a
=[a+3-(a-3)^2/(a+3)]/a
=[(a+3)^2-(a-3)^2]/[(a+3)×a]
=6/(a+3)