用因式分解答1:4(x-y)²-16(x+y)² 2:(x+y-z)²-4(x-y-z)²

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用因式分解答
1:4(x-y)²-16(x+y)² 2:(x+y-z)²-4(x-y-z)²

1 原式=(2x-2y+4x+4y)(2x-2y-4x-4y)
=-4(3x+y)(x+3y)
2 原式=(x+y-z+2x-2y-2z)(x+y-z-2x+2y+2z)
=(3x-y-3x)(-x+3y+z)

(2x-2y+4x+4y)(2x-2y-4x-4y)
=-4(3x+y)(x+3y)
=(x+y-z+2x-2y-2z)(x+y-z-2x+2y+2z)
=(3x-y-3x)(-x+3y+z)