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化简求值,3X²Y-（2X²Y-(2XYZ-X²Z)-4X²Z)-XYZ,其中X=-2,Z=1,Y=-3
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化简求值,3X²Y-（2X²Y-(2XYZ-X²Z)-4X²Z)-XYZ,其中X=-2,Z=1,Y=-3
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答案和解析
3X²Y-（2X²Y-(2XYZ-X²Z)-4X²Z)-XYZ
=3X²Y-（2X²Y-2XYZ+X²Z-4X²Z)-XYZ
=3X²Y-2X²Y+2XYZ-X²Z+4X²Z-XYZ
=X²Y+XYZ+3X²Z
=X*(XY+YZ+XZ)
=-2*(-2*-3-3*1-2*1)
=-2*(6-3-2)
=-2
=3X²Y-（2X²Y-2XYZ+X²Z-4X²Z)-XYZ
=3X²Y-2X²Y+2XYZ-X²Z+4X²Z-XYZ
=X²Y+XYZ+3X²Z
=X*(XY+YZ+XZ)
=-2*(-2*-3-3*1-2*1)
=-2*(6-3-2)
=-2
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