分解因式x3+y3+z3-3xyz

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分解因式x3+y3+z3-3xyz
分解因式x3+y3+z3-3xyz

分解因式x3+y3+z3-3xyz
x^3+y^3+z^3-3xyz
=[( x+y)^3-3x^2y-3xy^2]+z^3-3xyz
=[(x+y)^3+z^3]-(3x^2y+3xy^2+3xyz)
=(x+y+z)[(x+y)^2-(x+y)z+z^2]-3xy(x+y+z)
=(x+y+z)(x^2+y^2+2xy-xz-yz+z^2)-3xy(x+y+z)
=(x+y+z)(x^2+y^2+z^2-xy-xz-yz)

分解因式x3+y3+z3-3xyz x3+y3+z3-3xyz 和 x3+y3+z3+3xyz分解因式11 分解因式 x3+y3! 若x,y,z大于等于0,求证:x3+y3+z3大于等于3xyz x3+y3+z3-3xyz=2011 x大于等于15 y大于等于15 已知x+y+z=3,x2+y2+z2=19,x3+y3+z3=30则xyz=? 分解因式 x3+y3-x2y-xy2 x3-y3-x2y+xy2分解因式分解因式x3-xy2+x2y-y3 已知A=2x3-xyz,B=y3-z3+xyz,C=-x3+2y3-xyz,且(x+1)2+|y-1|+|z|=0,求A-(2B-3C)的值设1995x3=1996y3=1997z3,xyz＞0,且有3√1995 x3+1996y3+1997z3= 3√1995+3√1996+ 3√1997.求1/x+1/y+1/z 因式分解X2(Y+Z)+Y2(Z+X)+Z2(X+Y)-(X3+Y3+Z3)-2XYZ x3 y3 z3=x+y+z,x2+y2+z2=xyz的正实数解打错了,应该是x3+y3+z3=x+y+z 分解因式:x3(x+1)(y-z)+y3(y+1)(z-x)+z3(z+1)(x-y) 除了三个回答没第四个吗？分解因式:(x3+y3)2-(x3-y3)2因式分解 (x^3+y^3)^2-(x^3-y^3)^2 因式分解(x+y+z)3-x3-y3-z3 x3+y3+z3-3xyzx8+x6+x4+x2+1 x+y+z=3,x2+y2+z2=29,x3+y3+z3=45,求xyz和x4+y4+z4的值