x^3+y^3+z^3=(x+y)(x^2-xy+y^2)+z^3 =z^3-z[(x+y)^2-3xy] =z^3-z(z^2-3xy) =z^3-z^3+3xyz =3xyz
已知x+y+z=o,求证x+y+z=3xyz
2个回答
相关问题
-
已知:x+y+z=0,求证"x^3+y^3+z^3=3xyz
-
已知X+Y+Z=0,求证X^3+Y^3+Z^3=3XYZ
-
已知xyz属于R+,x+y+z=1,求证x^3/(y(1-y))+y^3/(z(1-z))+z^3/(x(1-x))大于
-
已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z
-
已知xyz满足z+y+z=xyz 求证:
-
已知(x+y)/z=(x+z)/y=(y+z)/x=2,且xyz≠0,则分式(x+y)(x+z)(y+z)/xyz的值为
-
已知:(x+y)/z=(x+z)/y=(z+y)/x,且xyz不等于0,则分式(x+y)(x+z)(z+x)/xyz的值
-
已知x+y+z=0,xyz=1,求证:x,y,z中必有一个大于2/3.
-
已知x,y,z都是正数,且xyz=1,求证:xy(x+y)+yz(y+z)+zx(z+x)》6
-
x+y-z=0求证x^3+8y^3=z^3-6xyz