x² y² xy-3y 3=0-搜答案-智慧作业帮

x³(a+1)-xy(x-y)(a-b)+y³(b+1)=x³(a-b+b+1)-xy(x-y)(a-b)+y³(b+1)=x³(a-b)+x

x3+y3-x2y-xy2=(x+y)(x2-xy+y2)-xy(x+y)=（x+y)(x2-2xy+y2）=（x+y)（x2+2xy+y2-4xy）=（x+y）[(x+y)2-4xy]=10×（10

∵x+y=1，∴x3+y3+3xy=（x+y）（x2-xy+y2）+3xy=x2+y2+2xy=（x+y）2=1．

∵(x+y+z)(x²+y²+z²)=x³+y³+z³+x²(y+z)+y²(x+z)+z²(x+y)∴1*2

x3+3xy+y3=（x+y）（x2-xy+y2）+3xy，=（x2-xy+y2）+3xy，=（x+y）2-3xy+3xy，=1．

(x+y)³=x³+y³+3x²y+3xy².记忆方法：各立方,然后3x方y,3xy方(x+y)³=x³-y³-3x&#

f'x=3x^2+3y=0-->y=-x^2f'y=-3y^2+3x=0-->y^2=xx=y^2=x^4-->x=0,1,-->y=0,-1f"xx=6x,f"yy=-6y,f"xy=3f(0,0)

（1）因为两个式子能合并同类项,∴相同字母的指数相同即a=2,b=1,∴a+b=3（2）x²+y²=（x+y）²-2xy=9-2=7（3）x²+3x+2=x&#

要求的式子=(x³－y³)＋(3xy²－x²y）－2（x²y－y³）=x³－y³＋3xy²－x²y－

df/dx=3x^2-3y=0df/dy=3y^2-3x=0得驻点(0,0)(1,1)A=d^2f/dx^2=6xC=d^2f/dy^2=6yB=d^2f/dxdy=-3①对驻点(0,0)A=0B=-

(x+y)^3=X^3+3X^2Y+3XY^2+Y^3x^2y+xy^2=303x^2y+3xy^2=90x^3+Y^3=35

f'x=3x^2-3yf'y=3y^2-3xf'x=0,f'y=0即x^2-y=0y^2-x=0消去yx^4-x=0即x(x-1)(x^2+x+1)=0x=0或1y=0或1x=y=0时f(x,y)=0

求偏导另其等于0即可

x^3+y^3+x^3y^3=12,x^3+y^3+x^3y^3+1=13,（x^3+1)(y^3+1)=13(x+1)(x^2-x+1)(y+1)(y^2-y+1)=13;x+y+xy=0,x+y+

这是要立方和公式,x^3+y^3+3xy=(x+y)(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=(x+y)^2=1

不会诶

两边对x求导注意y为x的函数3x^2+3(y+x*dy/dx)+3y^2*dy/dx=0从而dy/dx=-(x^2+y)/(x+y^2)有不明白的留言

原式＝[（2xy)³＋x²y³]÷(－xy²)＝-8x²y-xy代入数据＝-8×1×3-1×3＝-27

2.

x3+3xy-y3=(x-y)(x^2+y^2+xy)+3xy=-x^2-y^2+2xy=-(x-y)^2=-1