题目内容
已知实数满足a2+3a-2=0，求
-
×
的值．
| 1 |
| a+1 |
| a+2 |
| a2-1 |
| a2-2a+1 |
| a2+4a+4 |
| 1 |
| a+1 |
| a+2 |
| a2-1 |
| a2-2a+1 |
| a2+4a+4 |
=
| 1 |
| a+1 |
| a+2 |
| (a-1)(a+1) |
| (a-1) 2 |
| (a+2) 2 |
=
| 1 |
| a+1 |
| a-1 |
| (a+1)(a+2) |
=
| a+2-a+1 |
| (a+1)(a+2) |
=
| 3 |
| a 2+3a+2 |
∵a2+3a-2=0，
∴a2+3a=2，
∴原式=
| 3 |
| 2+2 |
| 3 |
| 4 |
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