Mathematics
Senior High
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赤線の−6と16はどうやって出すのでしょうか?
解答
(x-1)(x-2)(x-3)(x-4)-120
=(x−1)(x−4)×(x-2)(x-3)-120
=(x−5x+1)(x2−5x+6)−120
={(x2−5x)+4}{(x2_5x)+6}−120
=(x2−5x)+10(x®−5x)+24-120
=(x25x)+10(x2−5x)–96
={(x2−5x)−6}{(x2_5x)+16}
=(x−5x−6)(x2−5x+16)
=(r+1)(x−6)(r_5r+16)
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