问题 填空题

(a+b)[(a+b)2-3ab]-(a-b)[(a-b)2+3ab]=______.

答案

(a+b)[(a+b)2-3ab]-(a-b)[(a-b)2+3ab],

=(a+b)(a2+2ab+b2-3ab)-(a-b)(a2-2ab+b2+3ab),

=(a+b)(a2-ab+b2)-(a-b)(a2+ab+b2),

=a3+b3-a3+b3

=2b3

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