化简：(a^n+1 -ab^n)/(a^2n+2 -a^2 b^2n)a^n+1a的（n+1)的次方后面有些也是_数学解答

化简：(a^n+1 -ab^n)/(a^2n+2 -a^2 b^2n)
a^n+1
a的（n+1)的次方
后面有些也是

人气：258 ℃　时间：2020-06-17 22:00:23

解答

(a^(n+1)-ab^n)/(a^(2n+2)-a^2b^2n)
=[a(a^n-b^n)]/[a^2(a^2n-b^2n)]
=[a(a^n-b^n)]/[a^2(a^n-b^n)(a^n+b^n)]
=1/[a(a^n+b^n)]
=1/(a^(n+1)+ab^n)