题目内容

通分:
x
2x+2
1
x2+x
1
x2-1
考点:通分
专题:
分析:先找出最简公分母2x(x+1)(x-1),再根据分式的性质通分即可.
解答:解:最简公分母2x(x+1)(x-1),
x
2x+2
=
x
2(x+1)
=
x•x(x-1)
2(x+1)•x•(x-1)
=
x3-x2
2x(x+1)(x-1)

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

1
x2-1
=
1
(x+1)(x-1)
=
2x
2x(x+1)(x-1)
点评:本题考查了分式的通分,解题的关键是找最简分母.
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