题目内容
已知:abc=1,求
+
+
的值.
| a |
| ab+a+1 |
| b |
| bc+b+1 |
| c |
| ac+c+1 |
∵abc=1,
∴原式=
+
+
=
+
+
=
=1.
∴原式=
| a |
| ab+a+1 |
| ab |
| abc+ba+a |
| abc |
| a2bc+abc+ab |
=
| a |
| ab+a+1 |
| ab |
| ab+a+1 |
| 1 |
| ab+a+1 |
=
| ab+a+1 |
| ab+a+1 |
=1.
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