若x2+y2=10,xy=3,则(x-y)2=()

2024-12-16 11:41:41
推荐回答(5个)
回答1:

答案是4
x2+y2=10
x2+y2-2xy=10-2xy
(x-y)2=4

回答2:

(x-y)2=x2+y2-2xy=10-2×3=4

回答3:

x+y=4,xy=3
(x+y)^2=16
x^2+2xy+y^2=16
x^2+y^2=16-6=10

x^2+y^2=10
x^2+y^2-2xy=10-2xy=10-6=4
(x-y)^2=4
x-y=2

回答4:

(X-Y)2=X2-2XY+Y2=(X2+Y2)-2XY=10-2*3=4

回答5:

(x-2)^2=x^2+y^2-2xy=10-6=4