运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²

问题描述:

运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²

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