F3 Maths Problems

2015-05-04 5:38 am
12(a) Factorize x^3+1
(b) Simplify (3/(x^3))+((x-2)/x^2-x+1).

Need steps, plz

回答 (2)

2015-05-04 6:43 am
✔ 最佳答案
12a
x^3+1
=(x+1)(x^2-x+1)

12b
問題上是有問題
(3/(x^3 +1))+((x-2)/x^2-x+1)
=3/[(x+1)(x^2 -x+1)]+(x-2)(x+1)/[(x+1)(x^2 -x+1)]
=(3+x^2 -x-2)/[(x+1)(x^2 -x+ 1)]
=(x^2 -x-1)/[(x+1)(x^2-x+1)]
=1/(x+1)
2015-05-04 5:48 am
參考: 如果在下理解問題有誤,請告知在下~


收錄日期: 2021-04-15 20:08:32
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150503000051KK00106

檢視 Wayback Machine 備份