∵P=
x2
x−y−
y2
x−y=
(x−y)(x+y)
x−y=x+y,
∴当x=2,y=-1时,P=2-1=1;
又∵Q=(x+y)2-2y(x+y)=x2-y2,
∴当x=2,y=-1时,Q=22-(-1)2=4-1=3,
∵P<Q,
∴小聪的结论正确.
∵P=
x2
x−y−
y2
x−y=
(x−y)(x+y)
x−y=x+y,
∴当x=2,y=-1时,P=2-1=1;
又∵Q=(x+y)2-2y(x+y)=x2-y2,
∴当x=2,y=-1时,Q=22-(-1)2=4-1=3,
∵P<Q,
∴小聪的结论正确.