MATHS!!!!Fast!(10)

2007-10-01 11:30 pm
Factorize the following polynomials.(PLZ tell me how to do and WHY, not just the answer.)

1)cd-c+d-1

2)1-p-q-pq

3)2+m-2n-mn

4)cp+dp-c-d

5)m-n+cm-cn

6)p+q-bp-bq

回答 (3)

2007-10-02 12:37 am
✔ 最佳答案
1)cd-c+d-1

= c(d-1)+ (d-1) ←抽common factor

= (c+1)(d-1)

2)1-p-q-pq

= 1-q-p-pq ←轉次序

= (1-q) - p(1+q)

之後就好似化解唔到了。

3)2+m-2n-mn

= 2+m - n(2+m) ←抽common factor

= (1-n) (2+m)

4)cp+dp-c-d

= p(c+d) -(c+d) ←抽common factor

= (p-1) (c+d)

5) m-n+cm-cn

= (m-n) +c(m-n) ←抽common factor

= (1+c) (m-n)

6) p+q-bp-bq

= (p+q) - b(p+q) ←抽common factor

= (1-b) (p+q)
參考: 自己
2007-10-01 11:45 pm
1)
cd-c+d-1
= c(d-1)+d-1
= (d-1)(c+1)

2)
1-p-q-pq
好似打錯野,

3)
2+m-2n-mn
= 2+m-(2+m)n
= (2+m)(1-n)


4)
cp+dp-c-d
= c(p-1)+d(p-1)
= (c+d)(p-1)

5)
m-n+cm-cn
= m-n+c(m-n)
= (c+1)(m-n)

6)
p+q-bp-bq
= p+q-b(p+q)
= (1-b)(p+q)
2007-10-01 11:43 pm
1)cd+d-c-1
=d(c+1)-(c+1) common factor
=(d-1)(c+1)

其餘的都是抽個common factor 出來


收錄日期: 2021-04-13 19:32:52
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071001000051KK03051

檢視 Wayback Machine 備份