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已知a+b=8,ab=-20,则(a-b)a3+(b-a)b3=(  )。

单选题
2022-01-10 01:12
A、96
B、-96
C、2096
D、12096
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正确答案
D

试题解析

(a-b)a3+(b-a)b3=(a-b)(a3-b3)=(a-b)(a-b)(a2+ab+b2)=(a-b)2[(a+b)2-ab]=[(a+b)2-4ab][(a+b)2-ab]=[82-4×(-20)]×[82+20]=12096。

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