(x-y+2z)^2-(x-2y-3z)^2因式分解

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(x-y+2z)^2-(x-2y-3z)^2因式分解(x-y+2z)^2-(x-2y-3z)^2因式分解(x-y+2z)^2-(x-2y-3z)^2因式分解平方差原式=[(x-y+2z)+(x-2y-

(x-y+2z)^2-(x-2y-3z)^2因式分解
(x-y+2z)^2-(x-2y-3z)^2
因式分解

(x-y+2z)^2-(x-2y-3z)^2因式分解
平方差
原式=[(x-y+2z)+(x-2y-3z)][(x-y+2z)-(x-2y-3z)]
=(2x-3y-z)(y+5z)

(x-y+2z)^2-(x-2y-3z)^2
=[(x-y+2z)-(x-2y-3z)][(x-y+2z)+(x-2y-3z)]
=(x-y+2z-x+2y+3z)(x-y+2z+x-2y-3z)
=(x-x+2y-y+2z+3z)(x+x-y-2y+2z-3z)
=(y+5z)(2x-3y-z)