已知x+y=4,xy=3,则-xy-xy=
问题描述:
已知x+y=4,xy=3,则-xy-xy=
答
x^2y-xy^2=xy(x-y) 因为x y=4,xy=3 所以X=1,Y=3 或X=3,Y=1 1:当X=1,Y=3 X-Y=1-3=-2 所以x^2y-xy^2 =xy(x-y)=3*(-2)=-6 2:当X=3,Y=1 X-Y=3-1=2 所以x^2y-xy^2 =xy(x-y)=3*(2)=6