已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方

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已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方已知x2+xy=12,xy+y2=1

已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方
已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方

已知x2+xy=12,xy+y2=15,求（x-y)的负4次方乘以（x+y)的平方
x^2+xy=12,xy+y^2=15
x/y=4/5
y^2-x^2=3
(y-x)(y+x)=3
(x+y)=3/(y-x)
（x+y)^2/（x-y)^4
=9(x-y)^2=243

（x2+xy）+（xy+y2）=x2+2xy+y2=(x+y)2=27
（x2+xy）-（xy+y2）=x2-y2=(x-y)(x+y)=-3
so x-y=-根号3/3
（x-y)的负4次方乘以（x+y)的平方=9*27=243

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