xy(x2-y2) (x2 y2)二阶导

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已知xy/x+y=1/3,x2y2/x2+y2=1/5,求xy的值.

xy/x+y=1/3x+y=3xyx2y2/x2+y2=1/5(xy)²/[(x+y)²-2xy]=1/5(xy)²/[(3xy)²-2xy]=1/5(xy)&

计算:[x(x2y2-xy)-y(x2+x3y)]÷3x2y.

[x(x2y2-xy)-y(x2+x3y)]÷3x2y,=(x3y2-x2y-x2y-x3y2)÷3x2y,=-2x2y÷3x2y,=-23.

已知x2y2-20xy+x2+81=0求x,y的值

x2y2-20xy+x2+81=(xy-10)2+x2-19=0则xy-10=0且x2-19=0得x=+-根号19y=+-10/根号19对于像这种未知数个数多于方程类型的式子,如果能求解,只有一种情况

已知x+y=5,x2+y2=13,求代数式x3y+2x2y2+xy3的值.

x3y+2x2y2+xy3=xy(x2+2xy+y2)=xy(x+y)2,∵x+y=5,∴(x+y)2=25,x2+y2+2xy=25,∵x2+y2=13,∴xy=6,∴xy(x+y)2=6×25=1

已知x+y=4,x2+y2=14,求x3y-2x2y2+xy3的值.

∵x+y=4,∴(x+y)2=16,∴x2+y2+2xy=16,而x2+y2=14,∴xy=1,∴x3y-2x2y2+xy3=xy(x2-2xy+y2)=14-2=12.

先化简,再求值:(-3xy)2(x2+xy-y2)-3x2y2(3x2+3xy+y2),其中x=-43

原式=9x2y2(x2+xy-y2)-3x2y2(3x2+3xy+y2)=9x4y2+9x3y3-9x2y4-9x4y2-9x3y3-3x2y4=-12x2y4,当x=-43,y=-32时,原式=-1

已知x2y2+x2+4xy+13=6x,求x、y的值.

x2y2+4xy+4+x2-6x+9=0,(xy+2)2+(x-3)2=0,∵(xy+2)2≥0,(x-3)2≥0,∴xy+2=0,x-3=0,∴xy=-2,x=3.将x=3代入xy=-2中,解得y=

x2-y2=xy,xy不等于0求x2/y2=y2/x2

是求x2/y2+y2/x2=吗x2-y2=xy则x/y-y/x=1两边平方得x^2/y^2-2+y^2/x^2=1所以x^2/y^2+y^2/x^2=3

1,1,X2-1-2xy+y2

X2-1-2xy+y2=X2-2XY+Y2-1=(X2-2XY+Y2)-1=(X-Y)2-1=(X-Y-1)(X-Y+1)(x2+4y2)2-16x2y2=(x2+4y2)2-(4XY)2=(X2+4

计算:[x(x2y2-xy)-y(x2-x3y)]÷3x2y.

原式=(x3y2-x2y-x2y+x3y2)÷3x2y=(2x3y2-2x2y)÷3x2y=23xy-23.

2x2-xy+3y2因式分解

十字相乘法原式=(2x-3y)(x+y)

计算:[6xy2(x2-3xy)-(-3x2y3)]÷(3x2y2)

[6xy2(x2-3xy)-(-3x2y3)]÷(3x2y2)=[6x3y2-18x2y3+3x2y3)]÷(3x2y2)=[6x3y2-15x2y3]÷(3x2y2)=2x-5y.

因式分解:x2-2xy+y2-z2.

原式=(x2-2xy+y2)-z2=(x-y)2-z2=(x-y+z)(x-y-z).

y2+x2=2x,则x2y2的范围?

解题思路:圆的参数方程解题过程:varSWOC={};SWOC.tip=false;try{SWOCX2.OpenFile("http://dayi.prcedu.com/include/readq.

x2 y2+3xy+2 因式分解

x2y2+3xy+2=(xy)^2+3xy+2=(xy+2)(xy+1)很高兴能帮助您~!

X2+3xy+y2因式分解

=[x+(3-√5)/2*y][x-(3-√5)/2*y]有点牵强,但这是唯一的答案了

化简求值(2X2-2y2)-3(X2y2+X2)+3(X2y2+y2),其中X=-1,y=2

(2X²-2y²)-3(X²y²+X²)+3(X²y²+y²)=2x²-2y²-3x²y&

分解因式:x2-2xy+y2-9

x2-2xy+y2-9,=x2-2xy+y2-9,=(x2-2xy+y2)-9,=(x-y)2-32,=(x-y+3)(x-y-3).

已知x2+4y2+x2y2-6xy+1=0,求 x4-y4/2x-y 乘 2xy-y2/xy-y2 除以(x2+y2/x

因为x²+4y²+x²y²-6xy+1=0(x²-4xy+4y²)+(x²y²-2xy+1)=0(x-2y)²