x2-2xy ky2 3x-5y 2能分解成两个一次因式相乘的形式

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x2-2xy ky2 3x-5y 2能分解成两个一次因式相乘的形式
已知2x+y=7,x2+y2=5,求(4x+2y)2-3x2-y2+2(1-y2)的值.

原式=[2(2x+y)]2-3x2-y2+2-2y2=4(2x+y)2-3(x2+y2)+2∵2x+y=7,x2+y2=5∴原式=183.

x2-xy-2y2-x+5y-2

首先,X^2-XY+2Y^2=(X-2Y)(X+Y)所以,设x^2-xy-2y^2-x+5y-2可分解成(X-2Y+A)(X+Y+B)则展开有X的一次项=A+B=-1Y的一次项有A-2B=5连列成方程

已知x,y满足x2+y2-6x-2y+5=0,求x2+y2的最大值

x2+y2-6x-2y+5=0(x-3)^2+(y-1)^2=5表示一个圆,圆心坐标(3,1)x^2+y^2表示圆上一点(x,y)到原点的距离的平方.画图就看出,最大距离是:圆心到原点的距离+半径.即

先化简,再求值:(1)2x2-5x x2 4x,其中x=-3 (2)(3x2-xy-2y2)-2(x2 xy-2y2),

:(1)2x2-5x+x2+4x,其中x=-3=3x²-x=3x(-3)²+3=27+3=30(2)(3x2-xy-2y2)-2(x2+xy-2y2),其中x=6,y=-1=3x&

如果M=3x2-2xy-4y2,N=4x2+5xy-y2,则8x2-13xy-15y2等于(  )

A、原式=-6x2-19xy-5y2;B、原式=2x2-9xy-7y2;C、原式=x2-16xy-10y2;D、原式=8x2-13xy-15y2.故选D.

已知x2+y2=7,xy=-2,求5x2—3xy—4y2—11xy—7x2+2y2的值

5x2—3xy—4y2—11xy—7x2+2y2=-2x2-2y2-14xy=-2(x2+y2)-14xy=-14+28=14

已知x2+y2 =7,xy=-2.求5x2 -3xy-4y2 -11xy-7x2 +2y2

x+y=7xy=27^2=(x+y)^2=x^2+2xy+y^2=x^2+y^2+2*2x^2+y^2=45(1)y=7-xx(7-x)=2x^2-7x+2=0x=(7+41^(1/2))/2或x=(

已知X2+y2=7,Xy=-2,求多项式5X2一3Xy-4y2-11Xy-7X2+2y2的值.

 再问:你确定吗?再答:我保证再答:亲,那一步不明白可以问再问:你省略了一步吧!再答:能看明白吗再问:no再答: 再答:是不是这部再问:那么第一步是怎么得来的呢?再答:第一步不是你

已知2x=3y,求xy/(x2+y2)-y2/(x2-y2)的值

已知2x=3y,求xy/(x^2+y^2)-y^2/(x^2-y^2)的值2x=3y-->x=(3/2)yx^2=(9/4)y^2xy/(x^2+y^2)-y^2/(x^2-y^2)==(3/2)y*

已知(x2+y2+3)(x2+y2-2)-6=0,求x2+y2的值

(x²+y²)²+(x²+y²)-6-6=0(x²+y²)²+(x²+y²)-12=0(x²

若x2+4y2+2x-4y+2=0求5x2+16y2的算术平方根

x²+4y²+2x-4y+2=0(x²+2x+1)+(4y²-4y+1)=0(x+1)²+(2y-1)²=0x=-1,y=1/25x

已知x2+xy=2,y2+xy=5,则12x2+xy+12y2=___.

∵x2+xy=2,y2+xy=5,∴x2+2xy+y2=7,则原式=12(x2+2xy+y2)=72,故答案为:72

已知,A=3x2+3y2-5xy,B=2xy-3y2+4x2,求:

(1)2A-B=2(3x2+3y2-5xy)-(2xy-3y2+4x2)=6x2+6y2-10xy-2xy+3y2-4x2=2x2+9y2-12xy;(2)当x=3,y=−13时,2A-B=2x2+9

已知x2-xy=3,xy-y2=-5,试求代数式x2+2xy-3y2的值.

x2+2xy-3y2=x2-xy+3xy-3y2=x2-xy+3(xy-y2),∵x2-xy=3,xy-y2=-5,∴x2+2xy-3y2=3+3×(-5)=-12.

已知:x2+y2=7,xy=-2.求7x2-3xy-2y2-11xy-5x2+4y2已知:x2+y2=7,xy=-2.求

7x2-3xy-2y2-11xy-5x2+4y2=2x²-14xy+2y²=2(x²+y²)-14xy=2×7-14×(-2)=14+28=42

已知:x2+y2=7,xy=-2.求7x2-3xy-2y2-11xy-5x2+4y2的值.

∵x2+y2=7,xy=-2,∴7x2-3xy-2y2-11xy-5x2+4y2,=(7x2-5x2)+(4y2-2y2)-(3xy+11xy),=2x2+2y2-14xy,=2(x2+y2)-14x

已知:x=3,y=-5,x2-2xy+y2/x2-y2的值是

x²-2xy+y²/x²-y²=(x-y)²/(x-y)(x+y)=(x-y)/(x+y)因为x=3,y=-5,所以(3-(-5))/(3+(-5))

x2-xy-2y2-x+5y-2因式分解

首先,X^2-XY+2Y^2=(X-2Y)(X+Y)所以,设x^2-xy-2y^2-x+5y-2可分解成(X-2Y+A)(X+Y+B)则展开有X的一次项=A+B=-1Y的一次项有A-2B=5连列成方程

分解因式(1) x2+y2 (2) -x2-y2

实数范围:无复数范围:(x+yi)(x-yi)-(x+yi)(x-yi)

已知x2+4x+y2-2y+5=0,则x2+y2=______.

x2+4x+y2-2y+5=0,x2+4x+4+y2-2y+1=0,(x+2)2+(y-1)2=0,x+2=0,y-1=0,解得x=-2,y=1,x2+y2=5,故答案为:5.