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One question about Algebra......

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楼主
发表于 2016-12-3 21:31:53 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
Please help:

If the operation @ is defined for all integers a and b by a @ b = a+b-ab, which of the following statements must be true for all integers a, b, and c?

I. a @ b = b@a

II. a @ 0 = a

III. (a @ b) @ c = a @ (b @ c)

How to solve this problew from PREP...Please, Many many thanks...
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沙发
 楼主| 发表于 2016-12-3 21:49:20 | 只看该作者
Except giving a specific number, is there any easier way to do for "III"?
板凳
 楼主| 发表于 2016-12-3 21:59:34 | 只看该作者
III. equal to a+b+c-ab-ac-bc+abc
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