若x-y=6,xy=17/36,则代数式x^3y-2x^2y^2+xy^3的值为
问题描述:
若x-y=6,xy=17/36,则代数式x^3y-2x^2y^2+xy^3的值为
答
x^3y-2x^2y^2+xy^3
=xy(x^2-2xy+y^2)
=xy(x-y)^2
=(17/36)*36
=17