(xy-x的平方)÷x-y xy

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(xy-x的平方)÷x-y xy
若正数x,y满足2x+y-3=0,则x+2yxy的最小值为(  )

∵正数x,y满足2x+y-3=0,∴3=2x+y.∴x+2yxy=13(2x+y)(1y+2x)=13(5+2xy+2yx)≥13(5+22xy•2yx)=3,当且仅当x=y=1时取等号.则x+2yx

1.(2x/x平方-1)-(1/x-1) 2.(xy-x的平方)除以(x的平方-2xy+y的平方/xy)×(x-y /

1、原式=[2x/(x^2-1)]-[(x+1)/(x^2-1)]=[2x-(x+1)]/(x^2-1)=(x-1)/(x^2-1)=(x-1)/[(x+1)(x-1)]=1/(x+1)2、原式=[x

x的平方+2xy+y的平方分之4y的平方-x的平方÷2x的平方+2xy分之x-2y,

=-(x+2y)(x-2y)/(x+y)²×2x(x+y)/(x-2y)=-2x(x+2y)/(x+y)=-(2x²+4xy)/(x+y)

计算:y/(x的平方-xy)+2/(y-x)-x/(y的平方-xy)

y/(x²-xy)+2/(y-x)-x/(y²-xy)=[y²+2(-xy)+x²]/(x²y-xy²)=(x-y)²/[(x-y

已知x和y满足2x+3y=5,则当x=4时,代数式3(xXx)+12xy+(yXy)的值是( )

2x+3y=53y=5-2xy=(5-2x)/33x^2+12xy+y^2=3x^2+12x(5-2x)/3+(5-2x)^2/9x=4时=48-48+1=1

已知x/5=y/3,则(x/x+y)+(y/x-y)-(yxy/xxx-yxy)

y=3x/5原式=x/(x+3x/5)+(3x/5)/[x-3x/5]-(9x^3/25)/(x^3-9x^3/25)=8/3-3/2-9/16=29/48

(xy-x)的平方除以xy分之x-y

=(xy-x的平方)除以(x的平方-2xy+y的平方\xy)乘以(x-y\x的平方)=-x(x-y)×xy/(x-y)2×(x-y)/x2=-y再问:嗯

X+y=4,Xy=-12 求(1)XxX+yxy (2)XxXxy+Xxyxy

(1)XxX+yxy=(x+y)^2-2xy=4^2+2*12=16+28=44(2)XxXxy+Xxyxy=xy*(x+y)=4*(-12)=-48不懂可追问,有帮助请采纳,谢谢!

先化简,在求值,y的平方-xy分之(x+y)的平方÷{-(x-y)的平方分之y的平方+xy},其中x=0,

y的平方-xy分之(x+y)的平方÷{-(x-y)的平方分之y的平方+xy}=(x+y)²/[y(y-x)]÷[-y(y+x)/(x-y)²]=(x+y)²/[y(x-y

分式约分:xy+x/x的平方+2x+1

xy+x/x的平方+2x+1=x(y+1)/(x+1)^2不能继续约分了题目如果是xy+y/x的平方+2x+1=y(x+1)/(x+1)^2=y/(x+1)

计算x的平方-y的平方/xy-(xy-y的平方)/(xy-x的平方)

原式=x^2/xy-y^2/xy-[(x-y)y]/[(y-x)x]=x/y-y/x+y/x=x/y.

计算.3x平方+{2X平方-3X}-{-X+5X的平方} 其中X=314 {5XY-8X平方}-{-12X平方+4XY}

3x²+2x²-3x-(-x+5x²)=3x²+2x²-3x+x-5x²=-2x其中x=314时,-2x=-2*314=-6285xy-8x

x的平方-2xy/xy-2y的平方

x的平方-2xy/xy-2y的平方=x(x-2y)/y(x-2y)=x/y

(-3分之1xy)的平方×[xy(2x-y)-2x(xy-y的平方)]

原式(-xy/3)²*[xy(2x-y)-2x(xy-y²)]=(x²y²/9)(2x²y-xy²-2x²y+2xy²)

已知|3-y|+|x+y|=0,求x+yxy

|3-y|+|x+y|=0,且|3-y|≥0,|x+y|≥0,所以3-y=0,x+y=0,所以y=3,x=-3.所以x+yxy=-3+3-3×3=0-9=0.答:x+yxy的值为0.

4x的平方+3xy-x的平方-3xy+9,其中x=-2

4x的平方+3xy-x的平方-3xy+9=3x^2+9=3*(-2)^2+9=12+9=21

计算x的平方+4xy+4y的平方分之x的平方-4y的平方÷(x的平方-2xy)

原式等于:1/[X(X+2Y)].再问:过程再答:原式等于:(x²-4y²)/(x²+4xy+4y²)÷(x²-2xy)=(x²-4y

(x平方+2xy+y的平方)/(x+y)

(x平方+2xy+y的平方)/(x+y)=(x+y)²/(x+y)=x+y