x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) +z-x/(y-z)(y-x)

问题描述:

x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) +z-x/(y-z)(y-x)

原式= x-y/(z-x)(z-y)一y-z/(y-x)(z-x)一z-x/(z-y)(y-x) (这一步是把分母上的符号统一,便于同分)
= (x-y)(y-x)—(y-z)(z-y)—(z-x)(z-x) (分子)
———————————————— (分数线,这样你看的时候方便点)
(z-x)(z-y)(y-x)
-x^2+2xy-y^2+y^2-2yz+z^2-z^2+2xz-x^2 (x^2就是x的平方)
= ——————————————————
(z-x)(z-y)(y-x)
2xy-2yz+2xz-2x^2 (化简)
= ——————————————————
(z-x)(z-y)(y-x)
2x(y-x)-2z(y-x)
= ——————————————————
(z-x)(z-y)(y-x)
2(y-x)(x-z)
= ——————————————————
(z-x)(z-y)(y-x)
2 2
= ———— = ————
-(z-y) y-z
额……笔记本码字好麻烦~.