CHO X>Y>0, X-Y=7, XY=60, TÍNH A, X2+ Y2 B, X3+ Y3 C, X − Y , HD

Bài 105: Cho x>y>0, x-y=7, xy=60, Tính

a, x

2

+ y

2

b, x

3

+ y

3

c, xy ,

HD :

( )

22 2

, 2

a x + y = xy + xy

b, x

3

+ y

3

= ( x

2

+ y

2

) ( x + y ) xy x ( + y ) , mà : ( x + y ) (

2

= x y )

2

+ 4 xy = 49 4.60 +