因式分解 !!!

2010-06-30 11:44 pm
x^2y^2 + xy - x^2 - y^2 + x + y + 2

回答 (1)

2010-07-01 12:03 am
✔ 最佳答案
x^2y^2 + xy - x^2 - y^2 + x + y + 2
= (- x^2 + x^2 y^2 - y^2 + 1) + (x + xy + y + 1)

= [y^2 (x^2 - 1) - (x^2 - 1)] + [y(x + 1) + (x + 1)]

= (x^2 - 1)(y^2 - 1) + (x + 1)(y + 1)
= (x + 1)(x - 1) (y + 1)(y - 1) + (x + 1)(y + 1)
= (x + 1)(y + 1) [ (x - 1)(y - 1) + 1]
= (x + 1)(y + 1)(xy - x - y + 2)




收錄日期: 2021-04-21 22:11:51
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100630000051KK00861

檢視 Wayback Machine 備份