Mathematics
Senior High
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大至急お願いします🙇♀️
(a-b)(a-c)(c-b)が(a-b)(b-c)(c-a)になるのは何故ですか?
解説お願いします
(4) a (b ² - c²) + b (c²_a²) + c (a²-b²)
=ab²-ac² + bc²-ba² + ca²-cb²
= (c-b) a² + (b²-c²) a-bc²-cb².
= (c-b) a²-(c²-b²) a + bc (c-b)
= (c-b) a² - (c+b) (c-b) atbc (c-b)
= (c-b) { a² - (c+b) a +bc.}
= (c-b) (a-c) (a−b)
= (a - b)(a-c) (c-b)
= (a - b) (b-c) (c-a)
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