化简:(x+xx2-1)÷(2+1x-1-1x+1).-数学

题目简介

化简:(x+xx2-1)÷(2+1x-1-1x+1).-数学

题目详情

化简:(x+
x
x2-1
)÷(2+
1
x-1
-
1
x+1
)
题型:解答题难度:中档来源:常德

答案

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

=
x3-x+x
x2-1
÷
2(x2-1)+x+1-x+1
(x+1)(x-1)

=
x3
(x+1)(x-1)
(x+1)(x-1)
2x2

=class="stub"x
2

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