若x+y=2,且(x+2)(y+2)=5,则计算xy=_;3x^2+xy+3y^2=_

问题描述:

若x+y=2,且(x+2)(y+2)=5,则计算xy=_;3x^2+xy+3y^2=_
有过程

(x+2)(y+2)
=xy+2x+2y+4
=xy+4+4
=5
xy=5-8=-3
3x^2+xy+3y^2
=3(x+y)^2-5xy
=3*4-5*(-3)
=27