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factorize a^3+3a^2b+3ab^2+b^3?
回答 (2)
2018-07-09 2:40 pm
✔ 最佳答案
Factorize a^3+3a^2b+3ab^2+b^3?Sol
a^3+3a^2b+3ab^3+b^3
=(a^3+a^2b)+2a^2n+3ab^3+b^3
=(a^3+a^2b)+(2a^2b+2ab^2)+(ab^2+b^3)
=a^2(a+b)+2ab(a+b)+b^2(a+b)
=(a^2+2ab+b^2)(a+b)
=(a+b)^2(a+b)
=(a+b)^3
2018-07-09 2:30 pm
(a+b)^3
收錄日期: 2021-04-30 22:41:30
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20180709062935AAqv1Rv