中二算術 Math

2011-11-05 6:07 am
Factorize (x-1)(x-2)(x-3)(x-4)-48
更新1:

謝謝"雨後陽光"解答及十多位"知識友們"贊助,Thanks!

回答 (1)

2011-11-05 10:42 am
✔ 最佳答案
(x - 1) (x - 2) (x - 3) (x - 4) - 48

= (x - 1) (x - 4) (x - 2) (x - 3) - 48

= (x² - 5x + 4) (x² - 5x + 6) - 48

= (x² - 5x + 5 - 1) (x² - 5x + 5 + 1) - 48

= (x² - 5x + 5)² - 1² - 48

= (x² - 5x + 5)² - 49

= (x² - 5x + 5 - 7) (x² - 5x + 5 + 7)

= (x² - 5x - 2) (x² - 5x + 12)


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