设S=1+3(x-1)+3(x-1)2+(x-1)3,S=()A.(x-1)3B.(x-2)3C.(x+1)3D.x3-数学

题目简介

设S=1+3(x-1)+3(x-1)2+(x-1)3,S=()A.(x-1)3B.(x-2)3C.(x+1)3D.x3-数学

题目详情

设S=1+3(x-1)+3(x-1)2+(x-1)3,S=(  )
A.(x-1)3B.(x-2)3C.(x+1)3D.x3
题型:单选题难度:偏易来源:不详

答案

S=1+3(x-1)+3(x-1)2+(x-1)3=
C03
•13+
C13
•12•(x-1)+
C23
•1•(x-1)2+
C33
•(x-1)3=[1+(x-1)]3=x3
故选D.

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