已知x+y=3,x^2+y^2-xy=4,则x^3y+xy^3的值为

2024-11-30 05:18:40
推荐回答(3个)
回答1:

(x+y)^2-3xy=4.....xy=5/3.,,x^2+y^2=17/3...x^3y+xy^3=xy(x^2+y^2)=85/9

回答2:

x^2+y^2-xy=4
x^2+y^2+2xy=4+3xy
(x+y)^2=4+3xy x+y=3
3xy=5
xy=5/3
x^3y+xy^3
=xy(x^2+y^2)
=xy(4+xy)
=5/3(4+5/3)
=85/3

回答3:

85/ 3