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(x-1)5+5(x-1)4+10(x-1)3+10(x-1)2+5(x-1)等于(  )

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/28 12:04:07
(x-1)5+5(x-1)4+10(x-1)3+10(x-1)2+5(x-1)等于(  )
A. x5-1
B. x5
C. x5+1
D. (x-1)5-1
原式=C50(x-1)5+C51(x-1)4+C52(x-1)3+C53(x-1)2+C54(x-1)+C55-1
=[1+(x-1)]5-1=x5-1
故选A.