(a+b)(a-b)(a^4+a^2b^2+b^4)/(b^6-a^6)求详细过程,感激不尽!_数学解答

(a+b)(a-b)(a^4+a^2b^2+b^4)/(b^6-a^6)
求详细过程,感激不尽!

人气：307 ℃　时间：2020-05-27 14:30:35

解答

=（a²-b²）(a^4+a^2b^2+b^4)/(b^6-a^6)
=（a^6-b^6）/(b^6-a^6)
=-(b^6-a^6)/(b^6-a^6)
= -1