题目内容
已知a2+2a-15=0,求
•
+
的值.
| a-1 |
| a+2 |
| a2-4 |
| a2-2a+1 |
| 1 |
| a+3 |
原式=
•
+
=
=
,
∵a2+2a-15=0,
∴a2+2a=15,
∴原式=
=
=
.
| a-1 |
| a+2 |
| (a-2)(a+2) |
| (a-1)2 |
| 1 |
| a+3 |
=
| (a-2)(a+3)+a-1 |
| (a-1)(a+3) |
=
| a2+2a-7 |
| a2+2a-3 |
∵a2+2a-15=0,
∴a2+2a=15,
∴原式=
| a2+2a-7 |
| a2+2a-3 |
| 15-7 |
| 15-3 |
| 2 |
| 3 |
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