∵1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt
=1/2x²y-(5/2x²y-3xyt+2x²y)-3xyt
=1/2x²y-(9/2x²y-3xyt)-3xyt
=1/2x²y-9/2x²y+3xyt-3xyt
=-4x²y
∴化简1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt得:-4x²y
∵化简结果不含t
∴1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt的值与t无关
∵1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt
=1/2x²y-(5/2x²y-3xyt+2x²y)-3xyt
=1/2x²y-(9/2x²y-3xyt)-3xyt
=1/2x²y-9/2x²y+3xyt-3xyt
=-4x²y
∴化简1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt得:-4x²y
∵化简结果不含t
∴1/2x²y-[3/2x²y-3(xyt-2/3x²y)+yx²]-3xyt的值与t无关