x^2-3y^2-8z^2+2xy+2xz+14yz的因式分解
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x^2-3y^2-8z^2+2xy+2xz+14yz的因式分解
x^2-3y^2-8z^2+2xy+2xz+14yz的因式分解
x^2-3y^2-8z^2+2xy+2xz+14yz的因式分解
设x^2-3y^2-8z^2+2xy+2xz+14yz=(x+ay+bz)(x+cy+dz)
则
a+c=2
b+d=2
ad+bc=14
ac=-3
bd=-8
解得a=3 b=-2 c=-1 d=4
所以x^2-3y^2-8z^2+2xy+2xz+14yz=(x-y+4z)(x+3y-2z)
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