化简求值2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2 其中X=1,y=-1,z=1

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化简求值2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2 其中X=1,y=-1,z=1
化简求值2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2 其中X=1,y=-1,z=1

化简求值2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2 其中X=1,y=-1,z=1
原式=[(2x+3z)-y][-(2x+3z)-y]-(x+2y-3z)^2
=-(2x+3z)^2+y^2-(x+2y-3z)^2
=-(2+3)^2+1-(1-2-3)^2
=-25+1-16
=-40

-49

(2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2=[-y+(2x+3z)][-y-(2x+3z)]-(x+2y-3z)^2
=y^2-(2x+3y)^2-(x+2y-3z)^2=-24-16=-40

直接代入计算:
(1)(2x-y+3z)(-2x-y-3z)-(x+2y-3z)^2
=-(2x-y+3z)(2x+y+3z)-(x+2y-3z)^2
=-(2+1+3)(2-1+3)-(1-2-3)^2
=-6x4-16
=-40

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