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

问题描述:

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