(x-y/x)2n×(x/y-x)2n+1 (n为正整数) 注:2n和2n+1是次幂

问题描述:

(x-y/x)2n×(x/y-x)2n+1 (n为正整数) 注:2n和2n+1是次幂

原式=[(x-y)/x]^2n×[x/(y-x)]^2n+1,^2n是2n次幂,^2n+1是2n+1次幂
=[(y-x)/x]^2n×[x/(y-x)]^2n×[x/(y-x)]
=﹛[(y-x)/x]×[x/(y-x)]﹜^2n×[x/(y-x)]
=1^2n×[x/(y-x)]
=x/(y-x)