无论x,y取何值时,代数式:(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)的值是常熟.
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无论x,y取何值时,代数式:(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)的值是常熟.
无论x,y取何值时,代数式:(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)的值是常熟.
无论x,y取何值时,代数式:(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)的值是常熟.
∵
(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)
=x³+3x²y-5xy²+6y³+y³+2xy²+x²y-2x³-4x²y+x³+3xy²-7y³
=0
∴无论x,y取何值时,代数式:(x³+3x²y-5xy+6y³)+(y³+2xy²+x²y-2x³)-(4x²y-x³-3xy²+7y³)的值是常数.