Question

把下列各式化成(x-y)的n次方

(x-y)³×(y-x)²×(x-y)
(x-y)×(x-y)的4次方×(y-x)的4次方
（x-y）×（y-x）³×（y-x）的4次方
(x-y)³×(y-x)²×(y-x)
(x-y)×(x-y)的4次方×(y-x)的4次方
（x-y）×（y-x）³×（y-x）的4次方刚才写错了

Answer 1

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

(x-y)×(x-y)的4次方×(y-x)的4次方
=(x-y)×(x-y)的4次方×(x-y)的4次方
=(x-y)的9次方

（x-y）×（y-x）³×（y-x）的4次方
=(x-y)×【-(x-y)³]×(x-y)的4次方
=-(x-y)的8次方

追问

(x-y)³×(y-x)²×(y-x)
(x-y)×(x-y)的4次方×(y-x)的4次方
（x-y）×（y-x）³×（y-x）的4次方

追答

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

(x-y)×(x-y)的4次方×(y-x)的4次方
=(x-y)×(x-y)的4次方×(x-y)的4次方
=(x-y)的9次方

（x-y）×（y-x）³×（y-x）的4次方
=(x-y)×【-(x-y)³]×(x-y)的4次方
=-(x-y)的8次方

Answer 2

（1）（X－Y）＾6
（2）（X－Y）＾9
（3）（X－Y）＾8

Answer 3

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

(x-y)×(x-y)的4次方×(y-x)的4次方
=(x-y)(x-y)的4次方×(x-y)的4次方
=(x-y)的9次方
（x-y）×（y-x）³×（y-x）的4次方
=-（x-y）×（x-y）³×（x-y）的4次方
=-（x-y）的8次方