题目内容
已知ab=-1,a-b=3,则
+
=______.
| b |
| a |
| a |
| b |
∵
+
=
=
=
,
又∵ab=-1,a-b=3,
∴原式=
=-7,
故答案为-7.
| b |
| a |
| a |
| b |
| b2+a2 |
| ab |
| b2+a2-2ab+2ab |
| ab |
| (a-b)2+2ab |
| ab |
又∵ab=-1,a-b=3,
∴原式=
| 32-2 |
| -1 |
故答案为-7.
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