向各位高手请教个问题，因式分解：x`3(a+1)-xy(x-y)(a-b)+y`3(b+1 ) 会做的高手帮帮忙吧~万分感谢！

`3就是一个数的立方~

推荐答案 2011-08-06

x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)
=ax^3+x^3-ayx^2+byx^2+axy^2-bxy^2+by^3+y^3
=ax(x^2-xy+y^2)+by(x^2-xy+y^2)+(x+y)(x^2-xy+y^2)
=[(a+1)x+(b+1)y] (x^2-xy+y^2)

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其他回答

第1个回答 2011-08-06

问题补充：①3ax^2-3ay^2 ②2x^3-8x ③-9x^2y y ④x^4-16 ⑤2x^-3ay 2; =3a(x 2;-y 2;) =3a(x y)(x-y) 2x 3;-8x =2x(x

第2个回答 2011-08-07

上面的解题不错，已经解决了。

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因式分解:x`3(a+1)-xy(x-y)(a-b)+y`3(b+1 ) `3就是一个数的立方~答：x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)=ax^3+x^3-ayx^2+byx^2+axy^2-bxy^2+by^3+y^3 =ax(x^2-xy+y^2)+by(x^2-xy+y^2)+(x+y)(x^2-xy+y^2)=[(a+1)x+(b+1)y] (x^2-xy+y^2)

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