若a小于c小于0,b大于0,化简|2c|+|a-b|+|c-b|-|c-a|

题目

若a小于c小于0,b大于0,化简|2c|+|a-b|+|c-b|-|c-a|

答案

| 2c | + |a - b| + | c - b | - | c - a |
= (-2c) + (b - a) + (b - c) - (c - a)
= -2c + b - a + b - c - c + a
= 2b - 4c