题目内容
化简:(x+y)
+
=
| x2 |
| x2-y2 |
| y2 |
| y-x |
x+y
x+y
.分析:首先把x2-y2分解因式,然后约分,最后计算同分母的加减即可求解.
解答:解:(x+y)
+
=(x+y)
+
=
-
=x+y.
故答案为x+y.
| x2 |
| x2-y2 |
| y2 |
| y-x |
=(x+y)
| x2 |
| (x+y)(x-y) |
| y2 |
| y-x |
=
| x2 |
| x-y |
| y2 |
| x-y |
=x+y.
故答案为x+y.
点评:此题主要考查了分式的混合运算,其中通分、因式分解和约分是解答的关键.
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