因式分解（x+y+z)²-（x-y-z）²因式分解

因式分解（x+y+z)²-（x-y-z）²因式分解
因式分解（x+y+z)²-（x-y-z）²因式分解

因式分解（x+y+z)²-（x-y-z）²因式分解
（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)

（x+y+z)²-（x-y-z）²
=（x+y+z+x-y-z）（x+y+z-x+y+z）
=3x(2y+2z)
=6x(y+z)

平方差公式的应用