Mathematics
Senior High
Solved
なぜ波線部分の式になるのかわかりません!!
(2) a³(b-c)+b³(c¬a)+c³(a−b)
=(b-c)a³-(6³-c³)a+b³c-bc³
=(b-c)a-(b-c)(b²+bc+c²)a+bc(b+c)(b-c)
=(b-c){a³-(b²+ bc+c²)a+bc(b+c)}
tim
=(b-c){(c-a)b²+c(c-a)b-a(c+a)(c-a)}
=(b-c)(c-a){b²+cb-a(c+a)}
=(b-c)(c-a)(b-a){c+(b+a)}
=(b-c)(c-a)(b-a)(a+b+c)
=-(a−b)(b-c)(c-a)(a+b+c)
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