更新1:
To toyszchun: why there is (a - 36) ?
更新2:
To samlhy23486 you miss one step
更新3:
兩位答案都好相似 交由網友幫你們select吧
F.2 Maths
回答 (1)
2008-04-16 1:09 am
✔ 最佳答案
8(a2 - a)3 + 42(a2 - a)2 - 36a2 + 36a =8(a2 - a)3 + 42(a2 - a)2 - 36(a2 - 36a)
=2(a2 - 36a)[4(a2 - a)2 + 21(a2 - a) - 18]
=2(a2 - 36a)[4(a2 - a) - 3][(a2 - a) + 6]
=2a(a - 36)(4a2 - 4a - 3)(a2 - a + 6)
=2a(a - 36)(2a - 3)(2a + 1)(a - 3)(a + 2)
2008-04-16 18:34:13 補充：
對不起,我漏了
8(a² - a)³ + 42(a² - a)² - 36a² + 36a
=8(a² - a)³ + 42(a² - a)² - 36(a² - 36a)
=2(a² - 36a)[4(a² - a)² + 21(a² - a) - 18]
=2(a² - 36a)[4(a² - a) - 3][(a² - a) + 6]
=2a(a² - 36)(4a2² - 4a - 3)(a² - a + 6)
=2a(a² - 36)(2a - 3)(2a + 1)(a - 3)(a + 2)
=2a(a - 6)(a + 6)(2a - 3)(2a + 1)(a - 3)(a + 2)
收錄日期: 2021-04-23 17:56:31
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080415000051KK01512