Factorize x^3+y^3+x+y
回答 (2)
2007-06-10 3:31 am
✔ 最佳答案
x^3+y^3+x+y= (x+y)^3 - 3(x^2)y - 3x(y^2) + x + y
= (x+y)^3 + x + y - 3xy(x+y)
= (x+y) [ (x+y)^2 + 1 - 3xy ]
= (x+y)( x^2 + 2xy + y^2 - 3xy )
= (x+y)(x^2-xy+y^2)
收錄日期: 2021-04-13 19:49:19
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