maths 一問

2007-02-16 10:33 pm
1) 化簡27x3^3n/ 9^n


2) (5x+y)^2 - (5x - 2y)(5x + 2y)分解為因式

回答 (2)

2007-02-16 10:52 pm
✔ 最佳答案
1) 27 x 3^3n / 9^n = 3^3 x 3^3n / 3^2n = 3^[3(n+1)] / 3^2n = 3^(n + 3)

2) (5x + y)^2 - (5x - 2y)(5x + 2y) = (5x + y)^2 - [(5x)^2 - (2y)^2] = (5x)^2 + 10xy + y^2 - (5x)^2 + (2y)^2 = 10xy + 5y^2 = 5y(2x + y)
2007-02-16 10:44 pm
1. 27x3^3n/ 9^n
= 3^3 x 3^3n / 3^2
= 3^ ( 3+3n-2n)
= 3^ (3+n)

2. (5x+y)^2 - (5x - 2y)(5x + 2y)
= (5x+y)(5x+y)-(25x^2-10xy+10xy-4y^2)
= 10xy+5y^2
= 5y(2x+y)


收錄日期: 2021-04-23 16:40:36
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070216000051KK02151

檢視 Wayback Machine 備份