题目内容
计算:(1)| x2 |
| x-1 |
| xy |
| x-y |
分析:(1)首先通分,然后利用同分母的分式相加减的运算法则求解即可求得答案;
(2)先将(xy-x2)分解因式,然后再利用分式的乘法运算法则求解即可求得答案.
(2)先将(xy-x2)分解因式,然后再利用分式的乘法运算法则求解即可求得答案.
解答:解:(1)
-x-1=
-(x+1)=
-
=
=
;
(2)(xy-x2)•
=x(y-x)•
=-x2y.
| x2 |
| x-1 |
| x2 |
| x-1 |
| x2 |
| x-1 |
| (x-1)(x+1) |
| x-1 |
| x2-(x2-1) |
| x-1 |
| 1 |
| x-1 |
(2)(xy-x2)•
| xy |
| x-y |
| xy |
| x-y |
点评:本题主要考查分式的混合运算.注意通分、因式分解和约分是解答的关键.
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