（x+y+z）²-（x-y-z）²

来源：学生作业帮助网编辑：六六作业网时间：2024/11/26 16:26:41

（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

（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)