计算(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)

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计算(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)
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计算(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)
计算(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)

计算(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)
(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)
=(x+2y-3z)(x+2y-3z+x-2y+3z)
=(x+2y-3z)2x
=2x2+4xy-6xz

原式=x^2+2x(2y-3z)+(2y-3z)^2+x^2-(2y-3z)^2
=2x^2+4xy-6xz

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

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

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