x3+y3+z3-3xyzx8+x6+x4+x2+1
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x3+y3+z3-3xyzx8+x6+x4+x2+1
x3+y3+z3-3xyz
x8+x6+x4+x2+1
x3+y3+z3-3xyzx8+x6+x4+x2+1
1、x^3+y^3+z^3-3xyz
= (x^3+3yx^2+3xy^2+y^3)+z^3-3xyz-3yx^2-3xy^2
= (x+y)^3+z^3-3xy(x+y+z)
= (x+y+z)[(x+y)^2-(x+y)z+z^2]-3xy(x+y+z)
= (x+y+z)[(x^2+2xy+y^2-xz-yz+z^2)-2xy]
= (x+y+z)(x^2+y^2+z^2-xy-yz-zx)
2、等比数列求和公式x^8+x^6+x^4+x^2+1=(1-x^10)/(1-x^2)(x≠1和-1)
x3+y3+z3-3xyzx8+x6+x4+x2+1
因式分解(x+y+z)3-x3-y3-z3
分解因式x3+y3+z3-3xyz
x3+y3+z3-3xyz 和 x3+y3+z3+3xyz分解因式11
x3+y3+z3+(x+y)3+(y+z)3+(z+x)3因式分解
X+Y+Z=0 X3+Y3+Z3=?3就是3次幂
(x加y加z)3次方--x3次方-y3次方-z3次方.
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
x+y+z=0求 x3+y3+z3=?
已只x+y+z=3,x2+y2+z2=3求x3+y3+z3的值
已知x+y+z=3,x2+y2+z2=19,x3+y3+z3=30则xyz=?
x+y+z=1,x2+y2+z2=2,x3+y3+z3=3,x4+y4+z4=?
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
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
(ab+bc+ca)(a+b+c)-abc 和 (x+y+z)3-x3-y3-z3 都是什么式子 怎么分解 {x3表示x的立方}
因式分解:x3(y-z)+y3(z-x)+z3(x-y)=
因式分解X2(Y+Z)+Y2(Z+X)+Z2(X+Y)-(X3+Y3+Z3)-2XYZ