求详解(a^5+b^5)-(a^3b^2+a^2b^3)
问题描述：
求详解(a^5+b^5)-(a^3b^2+a^2b^3)
答
原式=(a^5-a^3b^2)-(a^2b^3-b^5)
=a^3(a+b)(a-b)-b^3(a+b)(a-b)
=(a^3-b^3)(a+b)(a-b)