因式分解
X(X-1)^2-y(y-1)^2
續多項式的因式分解 求高手
2013-11-07 8:15 pm
回答 (2)
2013-11-07 9:32 pm
✔ 最佳答案
x(x - 1)^2 - y(y - 1)^2= x^3 - 2x^2 + x - y^3 + 2y^2 - y
= (x^3 - y^3) - 2(x^2 - y^2) + (x - y)
= (x - y)(x^2 + xy + y^2) - 2(x - y)(x + y) + (x - y)
= (x - y)(x^2 + xy + y^2 - 2x - 2y + 1)
2013-11-07 8:42 pm
X(X-1)^2-y(y-1)^2
=(X^0.5(X-1)-y^0.5)(y-1)) (X^0.5(X-1)+y^0.5)(y-1))
=(X^0.5(X-1)-y^0.5)(y-1)) (X^0.5(X-1)+y^0.5)(y-1))
收錄日期: 2021-04-13 19:47:26
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20131107000051KK00057