Question

if x + y =3, xy=2, find x -y and x² - y²​

Answer 1

Step-by-step explanation:

x+y= 3

xy= 2

(x+y)²= x²+y²+2xy

9= x²+y²+2.(2)

x²+y²= 5

(x-y)²= x²+y²-2xy

(x-y)²= 5-2.(2)= 1

x-y= 1

x²-y²= (x+y).(x-y)

x²-y²= (3).(1)= 1..

Answer 2

Step-by-step explanation:

If , X + Y = 3

xy = 2

Then , the value of , x= 2 and y= 1

thus

x-y = 2 - 1 = 1

and

x²-y² = 2² - 1² = 4 - 1 = 3 ans