6x2.3xy
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x²-3xy-4y²=0x²+4xy+4y²-1=0由(1)得(x-4y)(x+y)=0x=4yx=-y由(2)得(x+2y)²-1=0x+2y=1x
x2-xy=-3①,2xy-y2=-8②,①×2+②×3得:2x2-2xy+6xy-3y2=-6-24=-30,则2x2+4xy-3y2=-30.
原式=x2+(3k+6)xy-2y2-1,因为不含xy项,故3k+6=0,解得:k=-2.
x2+xy+y=1x2+xy+x=6两个相减得x-y=5x=5+y代入任何一个式子,可以得y=-2,-6x=3,-1
A=-6-4+2+1=-7,B=6+4-2+1=9A-2B=-7-2x9=-25
(1)-X2(2)-3ab-9bc+6ac(你打错了吧,应该是2ab-3bc-ac吧)(3)-4
(x+ay+ax^2+3x+2)(x+by+by^2+2y-3)
十字相乘法原式=(2x-3y)(x+y)
-3x2+6xy-3y2=-(3x2-6xy+3y2)=-3(x2-2xy+y2)=-3(x-y)2,故答案为:-3(x-y)2.
原式=(2x²-3xy+4y²)+(x²+2xy-3y²)=(2x²+x²)+(-3xy+2xy)+(4y²-3y²)=
原式=3xy+2x2+4y-3xy-3x2=(3xy-3xy)+(2x2-3x2)+4y=-x2+4y∵(3x-6)2+︳2-2y|=0∴x=2,y=1把x=2,y=1代入原式=-(-2)2+4×(-
6x2-xy-15y2=(2x+3y)(3x-5y)=0,所以x=-3/2y或x=5/3y
x2y2+3xy+2=(xy)^2+3xy+2=(xy+2)(xy+1)很高兴能帮助您~!
=[x+(3-√5)/2*y][x-(3-√5)/2*y]有点牵强,但这是唯一的答案了
原式=12xy+3x2-5xy-6xy-4x2,=xy-x2.
∵4x2+8xy+9y2=4x2+2xy+9y2+6xy=2(2x2+xy)+3(3y2+2xy),2x2+xy=6,3y2+2xy=9,∴2(2x2+xy)+3(3y2+2xy)=2×6+3×9=3
(1)(a+b)2+6(a+b)+9,=(a+b+3)2;(2)-2xy-x2-y2,=-(x2+2xy+y2),=-(x+y)2;(3)(x2-2xy)2+2y2(x2-2xy)+y4,=(x2-2
由x2+xy+y2=3得,x^2+y^2=3-xyx^2+y^2≥2xy得,xy≤1所以x^2-xy+y^2=3-2xy≥1等号成立当且仅当x=y=±1
原式=2x2-2xy-6x2+9xy-2x2+2x2-xy+y2=-2x2+5xy+2y2,当x=-1,y=-2时,原式=-2+10+8=16.