已知y=x的3次方 x的平方在某点处与y=-x 2垂直,求斜率和切线方程

（x+y)(x的平方+y的平方）分之x的4次方-y的4次方=（x+y)(x的平方+y的平方）分之(x²+y²)(x²-y²)=(x+y)分之（x²-y

(x-3)平方+y平方+4y+4=0则(x-3)平方+（y+2）平方=0则x=3y=-2所以x的y次方等于1/9

x的平方+2x+y的平方-6y+10=0(x+1)^2+(y-3)^2=0x+1=0y-3=0x=-1y=3x^y=(-1)^3=-1

x的平方+y的平方+x的平方×y的平方-4xy+1=0x^2-2xy+y^2+(xy)^2-2xy+1=0(x-y)^2+(xy-1)^2=0x-y=0xy=1(x-y)的2008次方-(xy)的20

x^3y-2x²y²+xy^3=xy(x²-2xy+y²)=xy(x-y)²这里你题目数据似乎有问题按照x^3y+2x²y²+xy

因为x+y=8,所以(x+y)^2=64,即x^2+y^2+2xy=64又因为x^2+y^2=24,所以xy=20又因为(x-y)^2=|(x+y)^2-4xy|=16所以[xy(x-y)]^2=(2

原式=xy(x²-2xy+y²)=xy(x-y)²=3×(-1)²=3

a（x的m次方y的4次方）的3次方÷（3x的2次方y的n次方）的2次方=4x的2次方y的2次方ax的3m次方y的12次方）÷（9x的4次方y的2n次方)=4x的2次方y的2次方(a/9)x的3m-4次

（m+n)x^ny^(m-2)（3xy^2+5x^2y)=21x^my^(n+1)+35x^(m+1)y^n=7x^(m-1)y^(n-1)(3xy^2+5x^2y)m+n=7n=m-1m-2=n-1

x+y=1,x²+y²=2则：(x+y)²=x²+2xy+y²1=2+2xy得：xy=-1/2,则：x²y²=1/4x^6+y^6

xy²=-3原式=-x^4y^8-3x³y^6+xy²=-(xy²)^4-3(xy²)³+xy²=-81+81-3=-3

|2X-Y-3|+(2X+Y+11)的平方=0所以2x-y-3=02x+y+11=0相加得4x+8=0x=-2带入得y=-7所以(-7)^(-2)=1/49

(x+y)²=49x+y=±7当x+y=7x-y=5解得：x=6y=1(x+y)³=7³=343当x+y=-7x-y=5解得：x=-1y=-6(x+y)³=（-

x(x-y)²-(y-x)³=x(x-y)²+(x-y)³=(x-y)²[x+(x-y)]=(x-y)²(2x-y)

x^3+y^3=(x+y)(x^2+y^2-xy)=10(x^2+y^2-xy)=100所以x^2+y^2-xy=10已知x+Y=10(x+y)^2=100=x^2+y^2+2xy又因为x^2+y^2

x+y=3x²+y²-xy=4x^4+y^4+x^3y+xy^3=x^4+x^3y+y^4+xy^3=x^3(x+y)+y^3(x+y)=3(x^3+y^3)=3(x+y)(x&#

|2x-y|+(x-2y+3)的平方=0|2x-y|=0,(x-2y+3)的平方=02x-y=0,x-2y+3=0y=2xx+2y+3=0x-2*2x+3=0-3x+3=0x=1y=2x=2*1=2(

X的4次方+Y的4次方=（X的平方-Y的平方）^2+2x^2*y^2=(4XY)^2+2x^2*y^2=20x^2*y^2所以(X的4次方+Y的4次方)除以(X的平方*Y的平方)=20x^2*y^2除

(x^4-y^4)÷(x^2+y^2)/(x+y)=(x^2-y^2)(x^2+y^2)÷(x^2+y^2)/(x+y)=(x^2-y^2)(x^2+y^2)*(x+y)/(x^2+y^2)=(x^2

原式=xy(x²-2xy+y²)=xy(x-y)²=2×1²=2