作业帮(x-y)^3-(x-z)^3+(y-z)^3因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/05 15:13:51
(x-y)^3-(x-z)^3+(y-z)^3因式分解
(x-y)^3-(x-z)^3+(y-z)^3因式分解
(x-y)^3-(x-z)^3+(y-z)^3因式分解
(x-y)^3-(x-z)^3+(y-z)^3
=(x-y)^3+(y-z)^3+(z-x)^3
=[(x-y)^3+(y-z)^3]+(z-x)^3
=(x-y+y-z)[(x-y)^2-(x-y)(y-z)+(y-z)^2]+(z-x)^3
=(x-z)(3y^2-3xy+3xz-3yz)
=3(x-z)(x-y)(z-y)
试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)
已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z
2(x+y)(x+y-z)+3(y-z)(x+y-z)
(X-Y)3+(Y-Z)3+(Z-X)3 因式分解
因式分解(x+y)*3+(z-x)*3-(y+z)*3
(x-y)^3-(x-z)^3+(y-z)^3因式分解
(x-3y+2z)(x+3y-2z)
（x-2y+3z)(x+2y-3z)
(2y-x-3z)(-x-2y-3z)
因式分解(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3kkkkkkkkk
已知x+y+z=0求证x*x*x+y*y*y+z*z*z=3xyz
2(x+y-z)-3(x-y+z)-5(x+y-z)+6(x-y+z) 计算
x+y-z=3 y+z-x=5 z+x-y=7 求x,y,z
证明 ：x/(y+z)+y/(z+x)+z/(x+y)>=3/2其中 x,y,z>0
化简-(-3x-y+2z)-{-x+【4x-(x-y-z)-3x+2z}
(x+3y-2z)(x-3y-2z)-(x+3y-2z)^2
x/2=y/3=z/5 x+3y-z/x-3y+z
x+2y=3x+2z=4y+z 求x:y:z