Mathematics
Senior High
この問題?公式はもう何もかもわからないです。
1行目の式が2行目のように形がかわるのはなぜですか。
a²(b-c)+b²(c-a) + c² (a - b)
= (b−c)a² + (-b² + c²) a + (b² c− bc²)
= (bc)a² - (bc)(b+c)a + bc(b−c)
= (b−c){a² - (b+c) a + bc}
= (b−c){(a - b)(a – c)}
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= (a - b)(b − c)(c - a)
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