x-y=5
(x-y)^2=25
x^2+y^2-2xy=25
(x+y)^2=49
x^2+y^2+2xy=49
4xy=24
xy=6
x^2y^2=(xy)^2=36
(x+y)^2=49 则 x2+y2+2xy=49
x-y=5则 x2+y2-2xy=25 所以4xy=24 xy= 6 x2y2=36
X^2+Y^2+2XY=49 (X-Y)^2=X^2+Y^2-2XY=25 两式合并得4XY=24 XY=6 X^2Y^2=(XY)^2=6^2=36
X^2y^2=49