y等于x三次方-搜答案-智慧作业帮

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^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+

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

(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

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

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

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^2+y^2>1?是x^2+y^2

（y-x)的五次方

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

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

(a)^3/2,(x/2y)^3/2且(x

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)

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

=（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+y)^3=x^3+3x^2y+3y^2x+y^3

(x+y)(x^2-xy+y^2)

(x-y)*(x^2+xy+y^2)

题目是不是(x^3+y^3)/(x+y)?应该等于x^2+xy+y^2