(a-b-c)(b-a-c)(c-a-b)等于什么?公式?对不起.没分了.
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(a-b-c)(b-a-c)(c-a-b)等于什么?公式?对不起.没分了.
![(a-b-c)(b-a-c)(c-a-b)等于什么?公式?对不起.没分了.](/uploads/image/z/18321145-25-5.jpg?t=%28a-b-c%29%28b-a-c%29%28c-a-b%29%E7%AD%89%E4%BA%8E%E4%BB%80%E4%B9%88%3F%E5%85%AC%E5%BC%8F%3F%E5%AF%B9%E4%B8%8D%E8%B5%B7.%E6%B2%A1%E5%88%86%E4%BA%86.)
(a-b-c)(b-a-c)(c-a-b)= (a-b-c) [a+(c-b) ] [ a-(c-b) ]
=(a-b-c) [a²-(c-b) ²]
=a³-(b+c)a²+(b+c)(c-b) ²
= a³-(b+c)a²+(c²-b²)(c-b)
= a³+b ³+c ³-(b+c)a²-c ²b-b ²c
=(a-b-c) [a²-(c-b) ²]
=a³-(b+c)a²+(b+c)(c-b) ²
= a³-(b+c)a²+(c²-b²)(c-b)
= a³+b ³+c ³-(b+c)a²-c ²b-b ²c