先化简,再求值.(1)a2+2a+1a2-1-aa-1,其中a=3.(2)(3xx-1-xx+1)•x2-1x,其中x=2-1.-数学

题目简介

先化简,再求值.(1)a2+2a+1a2-1-aa-1,其中a=3.(2)(3xx-1-xx+1)•x2-1x,其中x=2-1.-数学

题目详情

先化简,再求值.
(1)
a2+2a+1
a2-1
-
a
a-1
,其中a=3.
(2)(
3x
x-1
-
x
x+1
)
x2-1
x
,其中x=
2
-1
题型:解答题难度:中档来源:不详

答案

(1)原式=
a2+2a+1
(a+1)(a-1)
-
a(a+1)
(a+1)(a-1)

=
a2+2a+1-a2-a
(a+1)(a-1)

=class="stub"a+1
(a+1)(a-1)

=class="stub"1
a-1

当a=3时,原式=class="stub"1
3-1
=class="stub"1
2


(2)原式=class="stub"3x
x-1
(x+1)(x-1)
x
-class="stub"x
x+1
(x+1)(x-1)
x

=3(x+1)-(x-1)
=3x+3-x+1
=2x+4,
当x=
2
-1时,原式=2(
2
-1)+4=2
2
+2.

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