求代数式x的三次方加x平方y加xy平方加y的三次方分之的四次方减y的四次方
来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 17:41:47
x^2+2x+y^2-6y+10=0可以化解为(x+1)^2+(y-3)^2=0,等价于x+1=0且y-3=0,所以有x=-1,y=3,故x^3*y=-3.
x=4.6415888336127788924100763509194y=10-x=10-4.6415888336127788924100763509194=5.3584111663872211075
X³+Y³=(X+Y)(X²-XY+Y²)
x^2-x-1=0,x^2-x=1.(1)又有x^2=x+1,x^3=x^2+x.(2).-x^3+2x^2+2009=-x^2-x+2x^2+2009[(2)代入]=x^2-x+2009=1+200
令2x平方加3x三次方加1为t,则y=cos三次方t令cost为a,则y=a的三次方.所以导数为3cos平方(2x平方加3x三次方加1)*{-sin(2x平方加3x三次方加1)}*(4x+9x的平方)
mx³-3nxy²+2x³-xy²+y不含三次项m+2=0m=-2-3n-1=0n=-1/32m+3n=-4-1=-5
x^3y-2x^2y^2+xy^3=x^3y+2x^2y^2+xy^3-4x^2y^2=xy(x^2+2xy+y^2)-4x^2y^2=xy(x+y)^2-4x^2y^2=12×7×7-4×12×12
x²-x-1=0∴x²-x=1-x³+2x²+2012=-x(x²-x)+x²+2012=-x+x²+2012=1+2012=20
X2+Y2-4X-6Y+13=0X2-4X+4+Y2-6Y+9=0(X2-4X+4)+(Y2-6Y+9)=0(x-2)2 +(y-3)2=0所以,x-2=0 x=2y-
x³+x²y+xy²+y³=x²(x+y)+y²(x+y)=(x+y)(x²+y²)
(X-2)的平方加根号Y加三=0x-2=0,y+3=0x=2,y=-3-4y³-(xy-x²)=-4×(-27)-(-6-4)=108+10=128再问:最后一步:108加10=1
求导完是3(X+1)平方-3(y-1)平方—9要求极值就得是3(X+1)平方-3(y-1)平方—9=0所以必须使3(X+1)平方-3(y-1)平方=9即(X+1)平方-(y-1)平方=3比如X=1Y=
x+y=1则x^2+y^2+2xy=1因为x^2+y^2=3则xy=-1x^3+y^3=(x+y)(x^2-xy+y^2)=1*(3+1)=4
∵x平方加4x=1;(x+2)^2=5∴x=±√5-2∴x五次方+6x四次方+7x三次方-8x+1=x^5+4x^4+2x^4+8x^3-x^3-8x+1=x^3(x^2+4x)+2x^2(x^2+4
先分解因式,后乘法.(X^4-Y^4)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X+Y)(X^2+Y^2)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X^3+X^2Y+XY^2+
7x^3-6x^3y+3x^2y+3x^3+6x^3y-3x^2y-10x^3,其中x=-2010.y=2012=(7x^3+3x^3-10x^3)+(6x^3y-6x^3y)+(3x^2y-3x^2
原式等于(xy)^2(x+y)将x+y=2,xy=4代入,得原式等于16×2=32
1/x²-1/y²=(1/x+1/y)(1/x-1/y)1/x³-1/y³=(1/x-1/y)(1/x²+1/xy+1/y²)
x³-y³-x²y+xy²=(x³-y³)-(x²y-xy²)=(x-y)(x²+xy+y²)-xy
(x+y)(x^2-xy+y^2)