已知2x-y= 3 xy=1求下列式子的值
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分子分母同时除以xy则分子得2(1/x+1/y)-3=2*5-3=7分母得3(1/x+1/y)+2=3*5+2=17则得7/17
=-x-(2y-2+3x)+2(x+4)=-x-2y+2-3x+2x+8=-4x-2y+10
-xy(x^2y^5-xy^3-y)=-(xy^2)^3+(xy^2)^2+xy^2=-(-2)^3+4-2=8+4-2=10
因为:1/x-1/y=3(y-x)/xy=3x-y=-3xy(1)又因为:(2x+3xy-2y)/(x-2xy-y)=[2(x-y)+3xy]/[(x-y)-2xy]代入(1)得:(-6xy+3xy)
(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-6xy+3x-3y=-6×(-2)+3×1=15
x^2+2xy+y^2=x²+xy+xy+y²=(x²+xy)+(xy+y²)=8+3=11x²-y²=x²+xy-xy-y
3/(x-y)=1/xyx-y=3xyy-z=-3xy原式=[(y-x)-2xy]/[2(x-y)+3xy]=[(-3xy)-2xy]/[2(3xy)+3xy]=-5xy/9xy=-5/9
(1)x²+y²=(x+y)^2-2xy=4+2=6(2)(x-y)^2=(x+y)^2-4xy=4+4=8(3)(x²)²+(y²)²=(
这道题考察的是技巧算题并非硬算(当然算出即可).因为x+y=-1,所以(x+y)^2=1.再将(x+y)^2打开得x^2+y^2+2xy=1.又因为xy=-12.所以x^2+y^2=1-2xy=25.
x^3y-2x^2y^2+xy^3=xy(3x^2-4xy+y^2)=xy(3x-y)(x-y)x-y=-1,xy=3y(y-1)=3
x²-xy=4(1)xy+y²=-3(2)1、二式相加得x²+y²=12、(1)+(2)*3得x²-xy+3xy+3y²=4+(-9)即x&
(1)x²+4xy+3y²=x²+xy+3y²+3xy=(x²+xy)+3(y²+xy)=3-6=-3(2)x²-y²=
因为x-y=-2xy所以将x-y都换成-2xy了
(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=(-2xy-3xy-xy)+(2x+2x-x)+(3y-2y-4y)=-6xy+3x-3y=-6+3*3=3
x-2y=3,两边平方,x²-4xy+4y²=9(1)x²-2xy+4y²=11(2)两式相减,2xy=2xy=1x²y-2xy²这题是不是
原式=-xy²(x²y^4-xy²-1)∵xy²=-2原式=2((-2)²-(-2)-1)=10
1)x²+y²=(x²-xy)+(xy+y²)=4+(-3)=12)x²+2xy+3y²=(x²-xy)+3(xy+y²
(1)x²-y²=(x²+xy)-(xy+y²)=3-(-2)=5(2)x²+4xy+3y²=(x²+xy)+3(xy+y
∵x²-xy=8,xy-y²=3∴x²-xy+xy-y²=3+8∴X²-Y²=11∴x²-xy﹣﹙xy-y²﹚=8-3∴
(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-2xy+2x+3y-3xy-2y+2x-x-4y-xy=-6xy+3x-3y=-6*(-2)+3*1=15不懂可追问,有帮助请采