什么算式等于x的四次方减y的四次方-搜答案-拍题作业网

2x-y=1/3xy=3xy=3=272x^4y-xy^4=(2x-y)xy=1/3×27=9

(1/x+1/y)^2=251/x^2+2/xy+1/y^2=251/x^2+1/y^2=27(1/x^2+1/y^2)^2=7291/x^4+1/y^4+2/x^2y^2=7291/x^4+1/y^

先把X四次方-2Y四次方-3XY二次方+X二次方Y+2XY二次方+3Y四次方合并同类项,也就是X四次方+Y四次方-XY二次方+X二次方Y,提取负号变成（X四次方+Y四次方）-（XY二次方-X二次方Y）

x的四次方减y的四次方=(x^2+y^2)(x^2-y^2)=(x^2+y^2)(x+y)(x-y)

(x-y)的四次方(x-y)-2(x-y)²(y-x）³=(x-y)的五次方+2(x-y)五次方=3倍(x-y)五次方

16乘x的四次方减1=（2x）的四次方-1=[（2x）平方-1][（2x）平方+1]=(2x-1)(2x+1)（4x平方+1)

x-1/x=3(x-1/x)2=x2-2+1/x2=9x2+1/x2=11(x+1/x)2=11+2=13x4-1/x4=(x2+1/x2)(x2-1/x2)=11(x+1/x)(x-1/x)=33(

等于65527用计算器算下就好了啊16*16=256256*256=6553665539-9=65527

x+y

(2x^4)y³－x³y^4=(x³y³)(2x－y)=(xy)³(2x－y)=4³×(1/16)=4

(x^4+y^4)(x^2+y^2)(x+y)(x-y)还原(x^4+y^4)(x^2+y^2)(x^2-y^2)(x^4+y^4)(x^4-y^4)x^8-y^8

x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)

=(x-y)的6次方×(x-y)的12次方=(x-y)的18次方

x-1/x=3两边平方得：x²-2+1/x²=3²x²+1/x²=9+2x²+1/x²=11两边平方得：x^4+1/x^4+2=1

原式=(x+y)(x-y)(x^2+y^2)(x^4+y^4)=(x^2-y^2)(x^2+y^2)(x^4+y^4)=(x^4-y^4)(x^4+y^4)=x^8-y^8

x^4-y^4=15x^3y-xy^3=6,化为;xy(x^2-y^2)=6两式相除得：(x^2+y^2)/(xy)=5/2得：2x^2+2y^2=5xy(2x-y)(x-2y)=0得x=y/2,或x

（-2/3）的四次方=（-3/4）×（-3/4）×（-3/4）×（-3/4）=81/256

=（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=-1所以原式=(x+y)(x²+y²)/(x²+y²)(x+y)(x-y)=1/(x-y)=-1

-16x^4+81y^4=(9y^2-4x^2)(9y^2+4x^2)=(3y-2x)(3y+2x)(9y^2+4x^2)