吾洗急,最緊要快
用恆等式作因式分解
1: 64-25b^2
2: x^2+8x+16
3: 9x^2+6xy+y^2
4: x^2-24x+144
5: a^2-8ab+16b^2
6: 11-99b^2
7: (a+b)^2+4(a+b)+4
更新1:
不一定要全部用恆等式
因式分解..非常急20
2008-11-30 11:42 pm
要詳細例式
吾洗急,最緊要快
用恆等式作因式分解
1: 64-25b^2
2: x^2+8x+16
3: 9x^2+6xy+y^2
4: x^2-24x+144
5: a^2-8ab+16b^2
6: 11-99b^2
7: (a+b)^2+4(a+b)+4
吾洗急,最緊要快
用恆等式作因式分解
1: 64-25b^2
2: x^2+8x+16
3: 9x^2+6xy+y^2
4: x^2-24x+144
5: a^2-8ab+16b^2
6: 11-99b^2
7: (a+b)^2+4(a+b)+4
回答 (2)
2008-11-30 11:57 pm
✔ 最佳答案
1: 64-25b^2=8^2-(5b)^2
=(8+5b)(8-5B)
2: x^2+8x+16
=x^2+2(x)(4)+4^2
=(x+4)^2
3: 9x^2+6xy+y^2
=(3x)^2+2(3x)(y)+y^2
=(3x+y)^2
4: x^2-24x+144
=(x)^2-2(x)(12)+12^2
=(x-12)^2
5: a^2-8ab+16b^2
=(a)^2-2(a)(4b)+(4b)^2
=(a-4b)^2
7: (a+b)^2+4(a+b)+4
=(a+b+2)^2
2008-12-01 6:09 am
恆等式有3條: (a+b)(a-b)=a^2-b^2
(a-b)^2=a^2-2ab+b^2
(a+b)^2=a^2+2ab+b^2
A.1 64-25b^2=(8-5b)(8+5b)
2 x^2+8x+16=(x+4)^2
3 9x^2+6xy+y^2=(3x+y)^2
4 x^2-24x+144=(x-12)^2
5 a^2-8ab+16b^2=(a-4b)^2
6 11-99b^2=11(1-9b^2)
7 (a+b)^2+4(a+b)+4=a^2+b^2+2ab+4a+4b+4
(a-b)^2=a^2-2ab+b^2
(a+b)^2=a^2+2ab+b^2
A.1 64-25b^2=(8-5b)(8+5b)
2 x^2+8x+16=(x+4)^2
3 9x^2+6xy+y^2=(3x+y)^2
4 x^2-24x+144=(x-12)^2
5 a^2-8ab+16b^2=(a-4b)^2
6 11-99b^2=11(1-9b^2)
7 (a+b)^2+4(a+b)+4=a^2+b^2+2ab+4a+4b+4
參考: 新紀元數學書
收錄日期: 2021-04-16 17:34:30
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081130000051KK01106