字典翻译 问答 其它 计算:(1)(a+b)(a-b)(a4+a2b2+b4);(2)[(-ab+cd)(cd+ab)(a2b2+c2d2)+2a4b4](c4d4-a4b4).
问题标题:
计算:(1)(a+b)(a-b)(a4+a2b2+b4);(2)[(-ab+cd)(cd+ab)(a2b2+c2d2)+2a4b4](c4d4-a4b4).
问题描述:

计算:

(1)(a+b)(a-b)(a4+a2b2+b4);

(2)[(-ab+cd)(cd+ab)(a2b2+c2d2)+2a4b4](c4d4-a4b4).

刘延华回答:
  (1)原式=(a2-b2)(a4+a2b2+b4)   =(a2)3-(b2)3   =a6-b6;   (2)原式=[-(ab-cd)(ab+cd))(a2b2+c2d2)+2a4b4](c4d4-a4b4)   =[-(a2b2-c2d2)(a2b2+c2d2)+2a4b4](c4d4-a4b4)   =(-a4b4+c4d4+2a4b4)(c4d4-a4b4)   =(c4d4+a4b4)(c4d4-a4b4)   =c8d8-a8b8.
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