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：2024/11/29 11:04:32
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(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)
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(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
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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