maths question x1(f.2)

2006-12-17 7:26 am
Factorize the following expression.
a^3 -b^3 + 3ab^2 -3a^2 b

*please write the process. thanks.

回答 (2)

2006-12-17 7:29 am
✔ 最佳答案
a^3 -b^3 + 3ab^2 -3a^2 b
=(a-b)(a^2+ab+b^2)+3ab(b-a)
=(a-b)(a^2+ab+b^2-3ab)
=(a-b)(a^2-2ab+b^2)
=(a-b)(a-b)^2
=(a-b)^3

2006-12-16 23:32:12 補充:
如果用factorization..(a-b)^3都未out-see..因為呢條數..f.4 o既a-maths係有一條式..就即計到..
2006-12-17 7:29 am
(a-b)^3
This question should not appear in f.2 sysllabus.


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