试说明:无论x、y取何值,代数式(x³+3x²y-5xy²+6y³)+(y³+2xy²+x²y-2x³-2)-(4x²y-x³-3xy²+7y³-5)的值是常数.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 03:11:17

试说明:无论x、y取何值,代数式(x³+3x²y-5xy²+6y³)+(y³+2xy²+x²y-2x³-2)-(4x²y-x³-3xy²+7y³-5)的值是常数.
试说明:无论x、y取何值,代数式(x³+3x²y-5xy²+6y³)+
(y³+2xy²+x²y-2x³-2)-(4x²y-x³-3xy²+7y³-5)的值是常数.

试说明:无论x、y取何值,代数式(x³+3x²y-5xy²+6y³)+(y³+2xy²+x²y-2x³-2)-(4x²y-x³-3xy²+7y³-5)的值是常数.
(x³+3x²y-5xy²+6y³)+(y³+2xy²+x²y-2x³-2)-(4x²y-x³-3xy²+7y³-5)
=x³+3x²y-5xy²+6y³+y³+2xy²+x²y-2x³-2-4x²y+x³+3xy²-7y³+5
=3