已知x²-4x+y²-10y+29=0,求x²y²+2x³y²

x²-4x+y²-10y+29=0（x²-4x+4)+(y²-10y+25)=0(x-2)²+(y-5)²=0x-2=0,y-5=0x=2,y=5x²y²+2x³y²+x四次方y²=x²y²(1+2x+x²)=x²y²(x+1)²=4×25×9=900