Question

一道约分的分式题，求答案与过程。

(z-y)(y-x)(x一Z)分之(x一y)(y一z)(z-x)试用简便方法。谢谢啦！！

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Answer 1

(x-y)(y-z)(z-x)/(z-y)(y-x)(x-z)
=-(y-x)(y-z)(z-x)/(y-x)(z-y)(x-z)
=-(y-z)(z-x)/(z-y)(x-z)
=-(-(z-y))(z-x)/(z-y)(x-z)
=(z-y)(z-x)/(z-y)(x-z)
=(z-x)/(x-z)
=-(x-z)/(x-z)
=-1