作业帮[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]=
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 12:20:06
![[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]=](/uploads/image/z/201810-66-0.jpg?t=%5B%28a-b%29%28b-c%29%28c-a%29%5D%C3%B7%5B%28a-c%29%28c-b%29%28b-a%29%5D%3D)
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]=
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]=
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]=
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]
=[(a-b)(b-c)(c-a)]÷[-(c-a)(b-c)(a-b)]
=-1
-1
a-b=-(b-a)
b-c=-(c-b)
c-a=-(a-c)
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]
=-[(b-a)(c-b)(a-c)÷[(a-c)(c-b)(b-a)]
=-1
-1 (a-b)=-(b-a) (b-c)=-(c-b) )(c-a)=-(a-c)
[(a-b)(b-c)(c-a)]÷[(a-c)(c-b)(b-a)]
={-(b-a)*[-(c-b)]*[-(a-c)]}÷[(a-c)(c-b)(b-a)]
=-[(b-a)*(c-b)*(a-c)]÷[(a-c)(c-b)(b-a)]
=-1