题目内容
化简:(
+
) ÷
=
.
| 1 |
| x-y |
| 1 |
| x+y |
| x2y |
| x2-y2 |
| 2 |
| xy |
| 2 |
| xy |
分析:首先把除法转化成乘法,然后利用分配律计算,最后进行加法运算即可.
解答:解:原式=(
+
)•
=
•
+
•
=
+
=
=
.
| 1 |
| x-y |
| 1 |
| x+y |
| (x+y)(x-y) |
| x2y |
=
| 1 |
| x-y |
| (x+y)(x-y) |
| x2y |
| 1 |
| x+y |
| (x+y)(x-y) |
| x2y |
=
| x+y |
| x2y |
| x-y |
| x2y |
=
| 2x |
| x2y |
=
| 2 |
| xy |
点评:本题考查了分式的混合运算,正确运用运算律,正确确定运算顺序可以简化运算.
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