（x+y+z）²-（x-y-z）²

来源：学生作业帮助网编辑：作业帮时间：2024/05/11 13:18:43

（x+y+z）²-（x-y-z）²
（x+y+z）²-（x-y-z）²

（x+y+z）²-（x-y-z）²
(x+y+z)的平方-(x-y-z)的平方
=(x+y+z+x-y-z)(x+y+z-x+y+z)
=2x(2y+2z)
=4x(y+z)

原式=(x+y+z+x-y-z)(x+y+z-x+y+z)
=(2x)(2y+2z)
=4x(y+z)

平方差
原式=(x+y+z+x-y-z)(x+y+z-x+y+z)
=2x)(2y+2z)
=4x(y+z)