y等于x三次方

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x+y=7,x的二次方加y的二次方等于55.求x的三次方乘以y的三次方的值

x+y=7x^2+y^2=55(x+y)^2=x^2+y^2+2xy=492xy=49-55=-6,xy=-3(x^3)·(y^3)=(xy)^3=(-3)^3=-27

x的二次方等于y+4,y的二次方等于x+4,求x三次方-2xy+y的三次方的值?

x^2=y+4,所以x^2-y=4y^2=x+4,所以y^2-x=4x^3-2xy+y^3=(x^3-xy)+(y^3-xy)=x(x^2-y)+y(y^-x)=4x+4yx^2=y+4,y^2=x+

当 X加Y等于-3 X的三次方加Y的三次方等于-18 X的七次方加Y的七次方等于?

x3+y3=(x+y)(x2-xy+y2)=-18x2-xy+y2=6(x+y)2-3xy=6-3xy=6-9=-3xy=1x2+y2=6+xy=6+1=7再平方x4+2x2y2+y4=49x4+y4

因式分解(x+y+z)三次方-x三次方-y三次方-z三次方

(x+y+z)^3-x^3-y^3-z^3=(x+y+z)^3-x^3-(y^3+z^3)=(x+y+z-x)[(x+y+z)^2+x(x+y+z)+x^2]-(y+z)(y^2-yz+z^2)=(y

已知x+y=1,x²+y²=3,x三次方+y三次方等于多少

(x+y)²=1x²+y²+2xy=1xy=-1(x+y)^3=x^3+y^3+3x^2y+3xy^2=x^3+y^3+3xy(x+y)x^3+y^3=(x+y)^3-3

(x-y)的三次方乘以(x-y)的二次方乘以(y-x) 等于多少

(x-y)³×(x-y)²×(y-x)=(x-y)³×(x-y)²×[-(x-y)]=-(x-y)的6次方

已知x+y等于1,求x三次方+y三次方+3xy的值?

已知x+y=1,则x^3+y^3+3xy=(x+y)(x^2-xy+y^2)+3xy=1×(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=x^2+2xy+y^2=(x+y)^2=1^2

已知X+Y=1,X的三次方+Y的三次方等于三分之一,则X的五次方+Y的五次方等于多少

x³+y³=(x+y)(x²-xy+y²)=x²-xy+y²=(x+y)²-3xy=1-3xy=1/3∴xy=2/9x五次方+y五

(x-y)(y-x)的二次方(x-y)的三次方等于多少

解(x-y)(y-x)²(x-y)³=(x-y)(x-y)²(x-y)³=(x-y)^6

(x+y)的二次方减(x+y)的三次方等于多少?

由(1)因式分(x+y)²-(x+y)³=(x+y)²(1-x-y)或者(2)计算:(x+y)²-(x+y)³=x²+2xy+y²

x 的三次方减去y的三次方等于多少

x^3-y^3=x^3-x^2y+y^2x-yx^2+xy^2-y^3=x^2(x-y)+xy(y-x)+y^2(x-y)=(x-y)(x^2-xy+y^2)

三次根号下(x三次方+y三次方)

a^3+b^3=(a+b)*(a^2-ab+b^2).(a,b分别用X,Y代替吧,这是一个立方和公式)不过我感觉应该是最简了吧,如果用立方和来解开的话,计算步骤有会增多

已知x+y等于三 x方+y方-xy等于四 求x四次+x三次y+y四次+xy三次

=(x的四次方+x乘y的三次方)+(x的三次方y+y的四次方)=x(x的三次方+y的三次方)+y(x的三次方+y的三次方)=(x+y)(x的三次方+y的三次方)=(x+y)(x的平方-xy+y的平方)

x的三次方加y的三次方等于多少?

(x+y)^3=x^3+3x^2y+3y^2x+y^3

(x+y)的三次方除以(x+y)等于多少

题目是不是(x^3+y^3)/(x+y)?应该等于x^2+xy+y^2