| a+b−c |
| c |
| a−b+c |
| b |
| −a+b+c |
| a |
∴
| a+b−c+a−b+c−a+b+c |
| a+b+c |
| a+b−c |
| c |
| a−b+c |
| b |
| −a+b+c |
| a |
∴2a=b+c,2c=a+b,2b=a+c,
∴
| (a+b)(b+c)(c+a) |
| abc |
| 2c×2a×2b |
| abc |
故选A.
| a+b−c |
| c |
| a−b+c |
| b |
| −a+b+c |
| a |
| (a+b)(b+c)(c+a) |
| abc |
| a+b−c |
| c |
| a−b+c |
| b |
| −a+b+c |
| a |
| a+b−c+a−b+c−a+b+c |
| a+b+c |
| a+b−c |
| c |
| a−b+c |
| b |
| −a+b+c |
| a |
| (a+b)(b+c)(c+a) |
| abc |
| 2c×2a×2b |
| abc |