4x y 2=0 3x 5y 2=0

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4x y 2=0 3x 5y 2=0
若|x-1|+|y+3|=0,则1-xy-xy2 =?

|x-1|+|y+3|=0,有|x-1|≥0|y+3|≥0所以必须有|x-1|=0|y+3|=0才可以满足所以x=1y=-3代入1-xy-xy²=1+3-9=-5

若x+y=2,xy=-4,求x2y+xy2+1的值

(x+y)(xy)=x^2y+xy^2=-8原式=-7

先化简,再求值(3x2y-2xy2)-(xy2-2x2y),其中x=-1,y=2.

(3x2y-2xy2)-(xy2-2x2y)=3x2y-2xy2-xy2+2x2y=5x2y-3xy2当x=-1,y=2时,原式=5×(-1)2×2-3×(-1)×22=10+12=22.

dx/xy2=dy/x2y,dx/xy2=dz/zy2这个微分方程组怎么解?

先化简了就很容易解的啊,dx/xy²=dy/x²y即x*dx=y*dy积分得到x²=y²+C2而dx/xy²=dz/zy²即dx/x=dz/

已知A=x3-2y3+3x2y+xy2-3xy+4,B=y3-x3-4x2y-3xy-3xy2+3,C=y3+x2y+2

因为A+B+C=x3-2y3+3x2y+xy2-3xy+4+y3-x3-4x2y-3xy-3xy2+3+y3+x2y+2xy2+6xy-6=1,所以,对于x、y、z的任何值A+B+C是常数.

已知x+y=6,xy=4,则x2y+xy2的值为______.

∵x+y=6,xy=4,∴x2y+xy2=xy(x+y)=4×6=24.故答案为:24.

若|x-1|+(y+3)2=0,求1-xy-xy2的值.

由题意得,x-1=0,y+3=0,解得x=1,y=-3,所以,1-xy-xy2=1-1×(-3)-1×(-3)2,=1+3-9,=4-9,=-5.

已知(x+1)2+|y-1|=0,求2(xy-5xy2)-(3xy2-xy)的值.

2(xy-5xy2)-(3xy2-xy)=(2xy-10xy2)-(3xy2-xy)=2xy-10xy2-3xy2+xy=(2xy+xy)+(-3xy2-10xy2)=3xy-13xy2,∵(x+1)

如果x+y=0,xy=-7,求①x2y+xy2;  ②x2+y2.

∵x+y=0,xy=-7,∴①x2y+xy2=xy(x+y)=-7×0=0;②x2+y2=(x+y)2-2xy=14.

已知(x+3)2+▕x-y+10▏=0求代数式5x2y-【2x2-(3xy-xy2)-3x2】-2xy2-y2的值.

是不是求:5x²y-[2x²-(3xy-xy²)-3x²]-2xy²-y²再问:是再答:已知是不是(x+3)²+|x+y+10|=

已知A=x3+3x2y-5xy2+6y3-1,B=y3+2xy2+x2y-2x3+2,C=x3-4x2y+3xy2-7y

A+B+C=(x3+3x2y-5xy2+6y3-1)+(y3+2xy2+x2y-2x3+2)+(x3-4x2y+3xy2-7y3+1)=(1+1-2)x3+(3+1-4)x2y+(-5+2+3)xy2

求微分方程的通解(xy2-x)dx+(x2y+y)dy=0

(xy2-x)dx+(x2y+y)dy=0y(x²+1)dy=-x(y²-1)dxy/(y²-1)dy=-x/(x²+1)dx两边积分得ln|y²-1

已知多项式A=(3-2x)(1+x)+(3x5y2+4x6y2-x4y2)÷(x2y)2.

(1)A=3+3x-2x-2x2+3x+4x2-1=2x2+4x+2;(2)方程变形得:x2+2x=5,则A=2(x2+2x)+2=12.

多项式x5y2+2x4y3-3x2y2-4xy是(  )

按某一个字母的升幂排列是指按此字母的指数从小到大依次排列,降幂正好相反,常数项应放在最前面.多项式x5y2+2x4y3-3x2y2-4xy中,x的指数依次5、4、2、1;因此A不正确;y的指数依次是2

已知(x-2)2+|y+1|=0,求5xy2-[2x2y-(3xy2-2x2y)]的值.

原式=5xy2-2x2y+3xy2-2x2y=8xy2-4x2y,∵(x-2)2+|y+1|=0,∴x-2=0,y+1=0,即x=2,y=-1,则原式=16+16=32.

已知xy=-1,求3xy2(x-x3y2-12

3xy2(x-x3y2-12x2y)=3x2y2-3x4y4-32x3y3,当xy=-1时,原式=3×(-1)2-3×(-1)4-32×(-1)3=32.

已知A=8x2y-6xy2-3xy,B=7xy2-2xy+5x2y,若A+B-3C=0,求C-A.

由题意得:3C=A+B=8x2y-6xy2-3xy+7xy2-2xy+5x2y=13x2y+xy2-5xy,∴C=13x2y+xy2−5xy3,故:C-A=13x2y+xy2−5xy3-(8x2y-6

分解因式:xy2-2xy+2y-4=______.

xy2-2xy+2y-4,=xy(y-2)+2(y-2),=(xy+2)(y-2).

已知x+2y=5,xy=1.则2x2y+4xy2=______.

∵x+2y=5,xy=1,∴2x2y+4xy2=2xy(x+2y)=2×1×5=10,故答案为:10.

如果x+y=0,xy=-7,x2y+xy2=______,x2+y2=______.

解;∵x+y=0,xy=-7∴x2y+xy2=xy(x+y)=-7×0=0x2+y2=(x+y)2-2xy=02-2×(-7)=0+14=14.