因式分解(x-2y)(x+y)(x2-xy+y2)过程和答案在线等,快啊,过程详细点,一步都不要省啊,看懂了的,我会加分,讲到做到···讲了写详细点,最好有分析过程,你们写的我都看不懂啊~~!!!!!!!!!!!!!!!!!!!!!1

问题描述:

因式分解(x-2y)(x+y)(x2-xy+y2)过程和答案
在线等,快啊,过程详细点,一步都不要省啊,看懂了的,我会加分,讲到做到···
讲了写详细点,最好有分析过程,你们写的我都看不懂啊~~!!!!!!!!!!!!!!!!!!!!!1

(x-2y)(x+y)(x2-xy+y2)(后面两个括号里是立方和公式)
=(X-2Y)(X^3+Y^3)
=X^4+XY^4-2XY^3-2Y^4

x^3+y^3=(x+y)(x^2-xy+y^2)
(x-2y)(x+y)(x^2-xy+y^2)
=(x-2y)(x+y)(x^3+y^3)/(x+y)
=(x-2y)(x^3+y^3)
=x^4+xy^3-2x^3y-2y^4