1. (x-y)( x^2 + xy + y^2 )
2. (x-y)( x^3 + x^2 y + x y^2 + y^3)
3. (x-y)( x^4 + x^3 y + x^2 y^2 + x y^3 + y^4)
更新1:
自膠....其實係要expand!!!!!搞錯左!
Factorization 三條
2011-07-07 9:49 am
Factorize the followings:
1. (x-y)( x^2 + xy + y^2 )
2. (x-y)( x^3 + x^2 y + x y^2 + y^3)
3. (x-y)( x^4 + x^3 y + x^2 y^2 + x y^3 + y^4)
1. (x-y)( x^2 + xy + y^2 )
2. (x-y)( x^3 + x^2 y + x y^2 + y^3)
3. (x-y)( x^4 + x^3 y + x^2 y^2 + x y^3 + y^4)
回答 (3)
2011-07-07 4:51 pm
✔ 最佳答案
expand the followings:1. (x－y)( x^2+xy+y^2 )
=(x^3+x^2y+xy^2)－(x^2y+xy^2+y^3)
=x^3－y^3
2. (x－y)(x^3+x^2y+x y^2+y^3)
=(x^4+x^3y+x^2y^2+xy^3)－(x^3y+x^2y^2+xy^3+y^4)
=x^4－y^4
3. (x－y)( x^4+x^3y+x^2y^2+xy^3+y^4)
=( x^5+x^4y+x^3y^2+x^2y^3+xy^4)－(x^4y+x^3y^2+x^2y^3+xy^4+y^5)
= x^5－y^5
2011-07-07 10:49 am
自膠....其實係要expand!!!!!搞錯左!
2011-07-07 9:59 am
以上三條已經fac到最盡, 你想fac到complex number?
收錄日期: 2021-04-23 21:44:30
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