x^2 xy x=14,y^2 xy y=28

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x^2 xy x=14,y^2 xy y=28
计算:(1)2xyx

(1)原式=2xy+x(x−y)+y(x+y)x2−y2=(x+y)2(x+y)(x−y)=x+yx−y;(2)原式=2a−(a+2)(a+2)(a−2)a−2(a+2)(a−2)=1a+2;(3)原

已知x-xy=8,xy-y=-9,求x+y-2xy的值

x-xy=8(1)xy-y=-9(2)则有(1)-(2):X-XY-XY+Y=X+Y-2XY=8-(-9)=17

已知xyx+y=2

∵xyx+y=2∴xy=2(x+y)∴原式=3x−5×2(x+y)+3y−x+3×2(x+y)−y=−7x−7y5x+5y=−75

若x^2+xy+y=14,y^2+xy+x=28,求x+y的值.

x^2+xy+y=14,y^2+xy+x=28两式相加得x²+2xy+y²+(x+y)=42(x+y)²+(x+y)-42=0(x+y+7)(x+y-6)=0所以x+y+

如果x^2+xy+y-14,y^@+xy+x=28,求x+y的值.

x^2+xy+y=14y^2+xy+x=28两式相加x^2+y^2+2xy+x+y=42(x+y)^2+(x+y)-42=0(x+y-6)(x+y+7)=0x+y=6或x+y=-7

(xy-x^2)乘以(xy)/(x-y)

对.前提是x不等于y

已知x+3xy-y=0求代数式x-2xy-y分之2x-14xy-2y的值

已知x+3xy-y=0则x-y=-3xy所以x-2xy-y分之2x-14xy-2y=[(x-y)-2xy]/[2(x-y)-14xy]=[-3xy-2xy]/[2*(-3xy)-14xy]=(-5xy

(-3x^y+2xy)-( )=4x^+xy

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

(x^2+xy/x-y)/(xy/x-y)计算

【x²+xy/(x-y)】/【xy/(x-y)】=【x²(x-y)/(x-y)+xy/(x-y)】/【xy/(x-y)】={【x²(x-y)+xy】/(x-y)}/【xy

已知:xy+x=-1,xy-y=-2.

(1)∵xy+x=-1①,xy-y=-2②,∴①-②得x+y=1;(2)先把xy+x=-1,xy-y=-2的值代入代数式,得原式=-x-[2y-1+3x]+2[x+4]=-x-2y+1-3x+2x+8

已知三个数x,y,z满足xyx+y

∵xyx+y=-2,yzy+z=43,zxz+x=-43,∴1x+1y=-12,1y+1z=34,1z+1x=-34,∴2(1x+1y+1z)=-12,即1x+1y+1z=-14,则xyzxy+yz+

x^2+xy+x=36,y^2+xy+y=20,求x+y.

7或者-8再问:求过程^_^再答:两个等式两边相加

求极限(工本高数)lim [2-(xy+4)^(1/2)]/xyx->0y->0证明函数f(x,y)=(x+y)/(x-

证明函数f(x,y)=(x+y)/(x-y)在点(0,0)处的二重极限不存在.当点(x,y)沿着直线y=kx(k为不等于1的任意实数)趋于(0,0)时,limf(x,y)=lim(x+kx)/(x-k

由已知x+y=-2,xy=3那么2(x+xy)-[(xy-3y)-x]-(-xy)等于多少?

2(x+xy)-[(xy-3y)-x]-(-xy)=2x+2xy-xy+3y+x+xy=3x+3y+2xy=3(x+y)+2xy=3*(-2)+2*3=0

已知x-y=4xy,则2x+3xy-2yx-2xy-y

∵x-y=4xy,∴2x+3xy-2yx-2xy-y=2(x-y)+3xyx-y-2xy=8xy+3xy4xy-2xy=112.故答案为:112.

如果把分式xyx+y中的x和y都扩大2倍,则分式的值(  )

把分式xyx+y中的x和y都扩大2倍后得:2x•2y2(x+y)=4xy2(x+y)=2•xyx+y,即分式的值扩大2倍.故选:B.

先化简,再求值:x2y-[4x2y-(xyz-x2z)-3x2z]-2xyx,其中x的倒数等于其本身,|y|=3,x2=

x=±1,y=±3,z=±2xyzz>y则0>x>z>yx=-1,y=-3,z=-2,x2y-[4x2y-(xyz-x2z)-3x2z]-2xyx=x2y-4x2y+xyz-x2z+3x2z-2xyx

X²+2xy+y²/xy乘x²-2xy+y²/xy+y²=

X²+2xy+y²/xy乘x²-2xy+y²/xy+y²=(x+y)²/xy×(x-y)²/y(x+y)=(x+y)(x-y)&#

若(2x-14xy-2y)除以(x-2xy-y)=4,则1/x-1/y=

(2x-14xy-2y)除以(x-2xy-y)=4(2x-14xy-2y)=4(x-2xy-y)2x+6xy-2y=0x-y=-3xy两边同除以xy,得1/y-1/x=-3所以1/x-1/y=3

已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值

x^2-xy=14,(1)xy-y^2=-11,(2)(1)-(2)得:x^2-2xy+y^2=14-(-11)=25