因式分解 (x-z)²-4(y+z)²

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因式分解 (x-z)²-4(y+z)²
因式分解 (x-z)²-4(y+z)²

因式分解 (x-z)²-4(y+z)²
(x-z)²-4(y+z)²
=[(x-z)+2(y+z)][(x-z)-2(y+z)]
=(x-z+2y+2z)(x-z-2y-2z)
=(x+2y+z)(x--2y-3z)

=[(x-z)+2(y+z)][(x-z)-2(y+z)]
=(x+2y+z)(x-2y-3z)

(x-z)²-4(y+z)²
=[(X-Z)+2(y+z)][(x-Z)-2(y+Z)]
=(x-z+2y+2z)(x-z-2y-2z)
=(x+2y+z)(x-2y-3z)