已知x-y=3,xy=10,则x²y-xy²=

问题描述:

已知x-y=3,xy=10,则x²y-xy²=

x^2y-xy^2
=xy(x-y)
=30

x²y-xy²
=xy(x-y)
代入后,得:
原式:=30

x*xy-xy*y= xy*(x-y)=30

原式=xy(x-y)=30.

x²y-xy²
=xy(x-y)
=10×3
=30

x²y-xy²=(x-y)xy=30