化简(1-2x+1)÷1x2-1的结果是()A.1(x+1)2B.1(x-1)2C.(x+1)2D.(x-1)2-数学

题目简介

化简(1-2x+1)÷1x2-1的结果是()A.1(x+1)2B.1(x-1)2C.(x+1)2D.(x-1)2-数学

题目详情

化简(1-
2
x+1
1
x2-1
的结果是(  )
A.
1
(x+1)2
B.
1
(x-1)2
C.(x+1)2D.(x-1)2
题型:单选题难度:中档来源:不详

答案

(1-class="stub"2
x+1
)÷class="stub"1
x2-1

=class="stub"x+1-2
x+1
÷class="stub"1
(x+1)(x-1)

=class="stub"x-1
x+1
•(x+1)(x-1)
=(x-1)2.
故选D

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