题目内容
计算:
÷
+
.
| x+1 |
| (x+2)(x-1) |
| x2-1 |
| x+2 |
| 1 |
| x-1 |
考点:分式的混合运算
专题:
分析:根据运算顺序,先算乘除,后算加减,分子分母要因式分解,约分即可.
解答:
解:原式=
•
+
=
+
=
=
.
| x+1 |
| (x+2)(x-1) |
| x+2 |
| (x+1)(x-1) |
| 1 |
| x-1 |
=
| 1 |
| (x-1)2 |
| 1 |
| x-1 |
=
| 1+x-1 |
| (x-1)2 |
=
| x |
| (x-1)2 |
点评:本题考查了分式的混合运算,通分、因式分解和约分是解答的关键.
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