x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) +z-x/(y-z)(y-x)
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x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) +z-x/(y-z)(y-x)
![x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) +z-x/(y-z)(y-x)](/uploads/image/z/19330979-59-9.jpg?t=x-y%2F%28z-x%29%28z-y%29+%E4%B8%80y-z%2F%28x-y%29%28x-z%29+%EF%BC%8Bz-x%2F%28y-z%29%28y-x%29)
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~.
= (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~.
(x+y-z)(x-y+z)=
(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z
①(x+y+z)(-x+y+z)(x-y+z)(x+y-z)
数学 多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式
方向 X Y Z
(x+y+z)^5-(x+y-z)^5-(x+z-y)^5-(z+y-x)^5,
X+Y+Z=?
如何化简(x+y+z)(x+y-z)(x-y+z)(-x+y+z)
(x+y+z)(-x+y+z)(x-y+z)(x+y-z)怎么算
x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y)
化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+(z-y)(x-y)/(x-2z+y)(y+z-2x)+(x
z/(x-y) × y/(x+y)