已知实数a、b满足ab=1,a+b=3,求代数式a3b+ab3的值______.
人气:326 ℃ 时间:2020-02-05 21:07:49
解答
∵ab=1,a+b=3,
∴a3b+ab3=ab(a2+b2)=ab[(a+b)2-2ab]=9-2=7.
故答案为:7
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