试说明代数式x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3的值与字母x、y的取值无关.

试说明代数式x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3的值与字母x、y的取值无关.
试说明代数式
x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3
的值与字母x、y的取值无关.

试说明代数式x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3的值与字母x、y的取值无关.
x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3=
=（x³y³-2x³y³+x³y³）+（-1/2x²y+0.5x²y）+（y²+y²-2y²）-3
=-3

x³y³-1/2x²y+y²-2x³y³+0.5x²y+y²+x³y³-2y²-3
=（x^3y^3-2x^3y^3+x^3y^3)+(-1/2x^2y+0.5x^2y)+(y^2+y^2-2y^2)+3
=0+0=0=3=3,所以原式的值与x,y的取值无关。
（^表示乘方）