已知x²-4x+y²-10y+29=0,求x²y²+2x³y²+x四次方y²的值
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![已知x²-4x+y²-10y+29=0,求x²y²+2x³y²+x四次方y²的值](/uploads/image/z/329309-53-9.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B-4x%2By%26%23178%3B-10y%2B29%3D0%2C%E6%B1%82x%26%23178%3By%26%23178%3B%2B2x%26%23179%3By%26%23178%3B%2Bx%E5%9B%9B%E6%AC%A1%E6%96%B9y%26%23178%3B%E7%9A%84%E5%80%BC)
已知x²-4x+y²-10y+29=0,求x²y²+2x³y²+x四次方y²的值
已知x²-4x+y²-10y+29=0,求x²y²+2x³y²+x四次方y²的值
已知x²-4x+y²-10y+29=0,求x²y²+2x³y²+x四次方y²的值
x²-4x+y²-10y+29=0
(x²-4x+4)+(y²-10y+25)=0
(x-2)²+(y-5)²=0
x-2=0,y-5=0
x=2,y=5
x²y²+2x³y²+x四次方y²
=x²y²(1+2x+x²)
=x²y²(x+1)²
=4×25×9
=900