题目内容
化简求值:3x2y-[2x2y-(2xyz-x2z)-4x2z]-xyz,其中x=2,y=-3,z=1。
解:3x2y-[2x2y-(2xyz-x2z)-4x2z]-xyz
=3x2y-[2x2y-2xyz+x2z-4x2z]-xyz
=3x2y-2x2y+2xyz-x2z+4x2z-xyz
=x2y+xyz+3x2z
当x=2,y=-3,z=1时,
原式=22×(-3)+2×(-3)×1+3×22×1
=-12-6+12
=-6
=3x2y-[2x2y-2xyz+x2z-4x2z]-xyz
=3x2y-2x2y+2xyz-x2z+4x2z-xyz
=x2y+xyz+3x2z
当x=2,y=-3,z=1时,
原式=22×(-3)+2×(-3)×1+3×22×1
=-12-6+12
=-6
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