【摘 要】
：
在因式分解当中,有一个很重要的公式：a~3++b~3+c~3-3abc=(a+b+c)(a~2+b~2+c~2- ab-bc-ca)．在做一些复杂题时,往往能因为它而化难为易,化复杂为简单．它的特殊之处在于两点：①当a+b
【机 构】
：
河南省新乡市一中少儿13班,河南省新乡市一中 453000
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在因式分解当中,有一个很重要的公式：a~3++b~3+c~3-3abc=(a+b+c)(a~2+b~2+c~2- ab-bc-ca)．在做一些复杂题时,往往能因为它而化难为易,化复杂为简单．它的特殊之处在于两点：①当a+b+c=0时,a~3+b~3+c~3=3abc．②当a+b+c≠0,a~3+b~3+c~3=3abc时,
In factoring, there is a very important formula: a~3++b~3+c~3-3abc=(a+b+c)(a~2+b~2+c~2- ab- Bc-ca). When doing some complex questions, it is often difficult to make things easier because of it, and the complexity is simple. It is special in two points: 1 When a+b+c=0, a~3+b~3+c~3=3abc. 2 When a+b+c≠0, a~3+b~3+c~3=3abc,
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