因式分解（x+y+z)²-（x-y-z）²因式分解

分类: 作业答案 • 2022-03-04 13:15:37

问题描述：

答

（x+y+z)²-（x-y-z）²
=[(x+y+z)+(x-y-z)][(x+y+z)-(x-y-z)]
=(x+y+z+x-y-z)(x+y+z-x+y+z)
=2x·2(y+z)
=4x(y+z)