x+y=4,xy=2,2x^3y+4x^2y^2+2xy^3

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x+y=4,xy=2,2x^3y+4x^2y^2+2xy^3
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x+y=4,xy=2,2x^3y+4x^2y^2+2xy^3
x+y=4,xy=2,2x^3y+4x^2y^2+2xy^3

x+y=4,xy=2,2x^3y+4x^2y^2+2xy^3
2x^3y+4x^2y^2+2xy^3
=2xy(x^2+2xy+y^2)
=2xy(x+y)^2
=2*2*4^2
=64

2x^3y+4x^2y^2+2xy^3
=2xy(x^2+2xy+y^2)
=2xy(x+y)^2
=2*2*4^2
=64

整理，原式=2xy(x+y)^2，代入数得4*16=64

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