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若x2+x5=a0+a1(x-1)+a2(x-1)2+a3(x-1)3+a4(x-1)4+a5(x-1)5,则a4=______.
人气:151 ℃ 时间:2020-06-13 16:13:27
解答
∵x2+x5=a0+a1(x-1)+a2(x-1)2+a3(x-1)3+a4(x-1)4+a5(x-1)5
再根据x5=[1+(x-1)]5
可得(x-1)4的系数为 a4=
C45
=5,
故答案为:5.
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