z 3=x² 4 y² 9 画

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z 3=x² 4 y² 9 画
已知x,y,z是正实数,且x-y=-2,y3-z3-y2-yz-z2=0,求x-z的值

∵y3-z3=(y-z)(y2+yz+z2)(立方差公式)又∵y3-z3-y2-yz-z2=0∴(y-z-1)(y2+yz+z2)=0(提取公因式)∵y、z是正实数∴y-z-1=0即y-z=1∵x-y

(x加y加z)3次方--x3次方-y3次方-z3次方.

a^3+b^3=(a+b)(a^2-ab+b^2)a^3-b^3=(a-b)(a^2+ab+b^2)(x+y+z)^3-x^3-y^3-z^3=(y+z)[(x+y+z)^2+(x+y+z)x+x^2

c语言简单的计算题设X=5,Y=10,Z=8 球下列各式的值1 X+=Y2 X%=Z3 Y=X--+Z*24 Z+=Y+

以单式来考虑,执行各式计算后:1.x=10;2.x=5;3.y=21,x=4;4.z=23,y=11,x=4

proe里面,x,y,z3个坐标和front,top,right什么关系?

系统给的缺省坐标系与基准面,TOP垂直Z,FRONT垂直.为了需要可建新坐标系,根据基准面.定向..也可根据坐标系建基准面.

已知X+Y+Z=0,求X3次方+Y3次方+Z3次方等于多少?

∵x+y+z=0,∴z=(-x-y)x^3+y^3+z^3=x^3+y^3-(x+y)^3=x^3+y^3-x^3-y^3-3x^2y-3xy^2=-3xy(x+y)=3xyz

已知x,y,z都是正整数,并且x3-y3-z3=3xyz,x2=2(y-z),求xy+yz+zx

因为:X3-Y3-Z3=3XYZ所以:X3+(-Y)3+(-Z)3-3X(-Y)(-Z)=0(X-Y-Z)(X2+Y2+Z2+XY+XZ-YZ)=0所以:1.X-Y-Z=02.X2+Y2+Z2+XY+

已知x+y+z=3,x2+y2+z2=19,x3+y3+z3=30则xyz=?

由(x+y+z)2-(x2+y2+z2)可得xy+xz+yz=-5x3+y3+z3-3xyz=(x+y+z)(x2+y2+z2-xy-yz-zx)可得xyz=14再问:谢谢,我看一下其他的答案在采纳再

已知x+y+z=1 x2+y2+z2=2 x3+y3+z3=3 求x4+y4+z4=?

(x+y+z)²-(x²+y²+z²)=2(xy+yz+zx)=-1,xy+yz+zx=-1/2x3+y3+z3=3xyz+(x+y+z)(x²+y&

已知x+y+z=1,x2+y2+z2=2,x3+y3+z3=3,求xy(x+y)+yz(y+z)+zx(z+x)的值

∵(x+y+z)(x²+y²+z²)=x³+y³+z³+x²(y+z)+y²(x+z)+z²(x+y)∴1*2

因式分解(x+y+z)3-x3-y3-z3

(x+y+z)^3-x^3-y^3-z^3=3yx^2+3xy^2+3xz^2+3yz^2+3zx^2+3zy^2+6xyz=3xy(x+y)+3z^2(x+y)+3z(x^2+y^2+2xy)=3x

因式分解X2(Y+Z)+Y2(Z+X)+Z2(X+Y)-(X3+Y3+Z3)-2XYZ

如果你的X2是x的平方,X3是x的三次方那么答案是:-(x-y+z)*(x-y-z)*(x+y-z)

X,Y,Z3种气体,把amolX和bmolY充入一密闭容器中 发生反应:X+2Y=2Z(可逆反应) 达到平衡时,它们物质

设X反应了KMOL则Y反应了2KMOL生成了Z2MOL又因为n(X)+n(Y)=n(z)所以a-k+b-2k=2kk=(a+b)/5所以Y反应了2(a+b)/5所以转化率为选B

已知x3+y3-z3=96,xyz=4,x2+y2+z2-xy+xz+yz=12,则x+y-z=(  )

x3+y3-z3+3xyz,=[(x+y)3-3x2y-3xy2]-z3+3xyz,=[(x+y)3-z3]-(3x2y+3xy2-3xyz),=(x+y-z)[(x+y)2+(x+y)z+z2]-3

已知z1=x+yi,z2=x-yi且x^2+y^2=1,z3=(3+4i)z1+(3-4i)z2,(1)求证z2∈R(2

应该证z3∈R.z3=(3+4i)z1+(3-4i)z2=(3+4i)(x+yi)+(3-4i)(x-yi)=3x-4y+(4x+3y)i+3x-4y-(4x+3y)i=6x-8y∈Zx^2+y^2=

x3(y-z)+y3(z-x)+z3(x-y)

x3(y-z)+y3(z-x)+z3(x-y)=x3(y-z)+y3(z-x)-z3(y-z)-z3(z-x)=(x3-z3)(y-z)+(y3-z3)(z-x)=(x-z)(y-z)(x2+xz+z

x3+y3+z3+(x+y)3+(y+z)3+(z+x)3因式分解

x^3+y^3+z^3+(x+y)^3+(y+z)^3+(z+x)^3=[x^3+(y+z)^3]+[y^3+(z+x)^3]+[z^3+(x+y)^3]=(x+y+z)(x^2-xy+y^2-xz+

若x,y,z大于等于0,求证:x3+y3+z3大于等于3xyz

因为x^3+y^3+z^3-3xyz=(x+y)^3-3x^y-3xy^2+z^3-3xyz(把x^3+y^3写成(x+y)^3-3x^2y-3xy^2)=[(x+y)^3+z^3]-(3x^2y+3

公式变形1:已知a^m=2,a^n=6求a^2m+3n2:已知a^x+y=6,a^x+y+z=12求a^z3:已知a^m

1:已知a^m=2,a^n=6求a^2m+3na^2m+3n=a^2m*a^3n=(a^m)^2*(a^n)^3=2^2*6^3=4*216=8642:已知a^x+y=6,a^x+y+z=12求a^z

x2+y2+z2=2007 ,x3+y3+z3=2008.求√x/y+√y/z+√z/x=?

根据√x/y+√y/z+√z/xx,y,z应全>0或全0将题中两式相减得:x^3-x^2+y^3-y^2+z^3-z^2=1(x-1)x^2+(y-1)y^2+(z-1)z^2=1因为x,y,z>0,