运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²

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运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²

运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²
运用公式法:将下列多项式是因式分解:(x+y+z)²-(x-y-z)²

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)

(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)