计算:(x-y)的n次方-(y-x)的n次方(n为正整数)
问题描述:
计算:(x-y)的n次方-(y-x)的n次方(n为正整数)
答
n是奇数
(x-y)的n次方-(y-x)的n次方
=(x-y)的n次方+(x-y)的n次方
=2(x-y)的n次方
n是偶数
(x-y)的n次方-(y-x)的n次方
=(x-y)的n次方-(x-y)的n次方
=0