F.2 factorization!!!

2011-11-13 8:43 pm
1. 2-18(a+1)^2

2. 9p^2-q^2-12p-4q

3. 18a^2+15b-50b^2-9a

回答 (1)

2011-11-13 9:20 pm
✔ 最佳答案
1. 2-18(a+1)^2
=2[1-9(a+1)^2]
=2{1-[3(a+1)^2]}
=2[1+3(a+1)][1-3(a+1)]
=2(4+3a)(-2-3a)
=-2(3a+4)(3a+2)

2. 9p^2-q^2-12p-4q
=(3p)^2-q^2-4(3p+q)
=(3p+q)(3p-q)-4(3p+q)
=(3p+q)[(3p-q)-4]
=(3p-q)(3p-q-4)

3. 18a^2+15b-50b^2-9a
=18a^2-50b^2+15b-9a
=2(9a^2-25b^2)-3(3a-5b)
=2[(3a)^2-(5b)^2]-3(3a-5b)
=2(3a+5b)(3a-5b)-3(3a-5b)
=(3a-5b)[2(3a+5b)-3]
=(3a-5b)(6a+10b-3)


收錄日期: 2021-04-26 16:45:12
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111113000051KK00297

檢視 Wayback Machine 備份