若已知x+y=3,xy=1,试分别求出(x-y)^2和x^3y+xy^2的值.帮帮忙
问题描述:
若已知x+y=3,xy=1,试分别求出(x-y)^2和x^3y+xy^2的值.帮帮忙
答
(x-y)^2
=(x+y)^2-4xy
=9-4
=5
x^3y+xy^3
=xy(x^2+y^2)
=xy[(x+y)^2-2xy]
=1*(9-2)
=7