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

(2)解分式方程:
3x
x+2
+
2
x-2
=3.
答案

(1)原式=[

(x+2)(x-2)
(x-2)2
+
2-x
x+2
]•
x-2
x

=

(x+2)2-(x-2)2
(x+2)(x-2)
x-2
x

=

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

=

4
x+2

(2)去分母得:3x(x-2)+2(x+2)=3(x2-4),

去括号得:3x2-6x+2x+4=3x2-12,

移项合并得:-4x=-16,

解得:x=4,

经检验x=4是分式方程的解.

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