x(x-y-z)+y(y-x+z)+z(z-x+y) 提取公因式法

题目

x(x-y-z)+y(y-x+z)+z(z-x+y) 提取公因式法

答案

x（x-y-z)-y(y-x+z)-z(z-x+y)
=x(x-y-z)+y(x-y-z)+z(x-y-z)
=(x-y-z)(x+y+z)