已知x-y=-1,xy=3,求x³y-2x²y²+xy³的值

问题描述:

已知x-y=-1,xy=3,求x³y-2x²y²+xy³的值

原式=XY(X²-2XY+Y²)=XY(X-Y)²=3(-1)²=3

x^3y-2x^2y^2+xy^3
因式分解先
=xy(x^2-2xy+y^2)
=xy(x-y)^2
好了,全部代入
=3