因式分解：x立方-xy平方-x+y

分类: 作业答案 • 2021-12-19 11:26:43

问题描述：

因式分解：x立方-xy平方-x+y

答

x^3-xy^2-x+y
=x(x^2-y^2)-(x-y)
=x(x+y)(x-y)-(x-y)
=(x-y)(x^2+xy-1)