题目内容
已知a-b=3,那么a3-b3-9ab的值是( )
| A.3 | B.9 | C.27 | D.81 |
a3-b3-9ab,
=(a-b)(a2+b2+ab)-9ab,
=(a-b)[(a-b)2+3ab]-9ab,
=3(9+3ab)-9ab,
=27+9ab-9ab,
=27.
故选C.
=(a-b)(a2+b2+ab)-9ab,
=(a-b)[(a-b)2+3ab]-9ab,
=3(9+3ab)-9ab,
=27+9ab-9ab,
=27.
故选C.
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