x²y²-10xy+y²-4y+29=0x²y²-10xy+25+y²-4y+4=0(xy-5)²+(y-2)²=0xy-5=0、y-2=0∴xy=5、x=5/2、y=2 ∴x²y²+2x³y²+x^4y²=5²+2×5²×5/2+(5...