已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/05 19:28:45
已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值x+y+
已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值
已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值
已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值
x+y+z=0
=>x+y=-z
=>y+z=-x
=>z+x=-y
所以(x+y)(y+z)(z+x)+xyz=-xyz+xyz=0
x+y=-z,y+z=-x,z+x=-y
(x+y)(y+z)(z+x)+xyz=-xyz+xyz=0
已知 (x+y-z)/z=(x-y+z)/y=(y+z-x)/x,且xyz≠0,求代数式 ((x+y)(y+z)(x+z))/xyz
分式加减法:已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z
已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z的步骤
已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z的步骤
已知:x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值.
已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=?
已知X+Y+Z=0,求(X+Y)(Y+Z)(X+Z)+XYZ的值.
已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值
已知x+y+z=0,求(x+y)(y+z)(x+z)+xyz的值
已知:(x+y-z)/z=(x-y+z)/y+(y+z-x)/x,且xyz≠0,求代数式[(x+y)(y+z)(x+z)]/xyz的值已知:(x+y-z)/z=(x-y+z)/y=(y+z-x)/x,且xyz≠0,求代数式[(x+y)(y+z)(x+z)]/xyz的值 题目中写错个等号,汗...
已知x、y、z满足方程组:x+y-z=6;y+z-x=2;z+x-y=0 求x、y、z的值
已知X.Y.Z满足方程组,X+y-Z=6y+z-x=2z+x-y=0求X.Y.Z的值
已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z
已知x,y,z满足方程组{x+y-z=6{y+z-x=2{z+x_y=0,求x,y,z的值
x分之y+z=y分之z+x=z分之x+y(x+y+z不等于0),求x+y+z分之x+y-z
x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值
已知x/(y+z+u)=y/(z+u+x)=z/(u+x+y)=u/(x+y+z)求(x+y)/(z+u)+(y+z)/(x+u)+(z+u)/(x+y)+(u+x)/(y+z)
已知z、y、z同时满足x+3y-5z=0,2x-y-3z=0,求x:y:z