问题 解答题
化简求值:
(1)
x2-1
x2+4x+4
(x+2)
x2+x

(2)(
x+2
x2-2x
-
x-1
x2-4x+4
)÷
4-x
x
,其中x=-5.
答案

(1)原式=

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

(2)原式=[

x+2
x(x-2)
-
x-1
(x-2)2
4-x
x

=-

(x+2)(x-2)-x(x-1)
x(x-2)2
x
x-4

=-

x-4
x(x-2)2
x
x-4
=-
1
(x-2)2

当x=-5时,原式=-

1
49

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