(x+2y-3z)(x-2y+3z)=?
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(x+2y-3z)(x-2y+3z)=?(x+2y-3z)(x-2y+3z)=?(x+2y-3z)(x-2y+3z)=?(x-2y+3z)(x+2y-3z)=[x-(2y-3z][x+(2y-3z)]
(x+2y-3z)(x-2y+3z)=?
(x+2y-3z)(x-2y+3z)=?
(x+2y-3z)(x-2y+3z)=?
(x-2y+3z)(x+2y-3z)
=[x-(2y-3z][x+(2y-3z)]
=x²-(2y-3z)²=x²-(4y²-12yz+9z²)
=x²-4y²-9z²+12yz
平方差公式 {x+(2y-3z)}{x-(2y-3z)}=x2-(2y-3z)2=x2-4y2+12yz-9z2
(x+2y-3z)(x-2y+3z)
=x^2-(2y-2z)^2
=x^2-4y^2-9z^2+12yz
试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)
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