已知a-b=3,那么a³-b³-9ab的值是多少呢?
1个回答
2015-07-13
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a³-b³-9ab
=(a-b)(a²+ab+b²)-9ab
=3(a²+ab+b²)-9ab
=3(a²+ab+b²-3ab)
=3(a²-2ab+b²)
=3(a-b)²
=3*3²
=27
=(a-b)(a²+ab+b²)-9ab
=3(a²+ab+b²)-9ab
=3(a²+ab+b²-3ab)
=3(a²-2ab+b²)
=3(a-b)²
=3*3²
=27
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