Question

if f(x+y,x-y)=x×y then find ​

Answer 1

Step-by-step explanation:

Answer

Given: f(x+y,x−y)=xy

Replacing x by

2

x+y

and y by

2

x−y

Gives f(x,y)=

4

x

2

−y

2

Now the arithmetic mean is

2

f(x,y)+f(y,x)

=

2

4

x

2

−y

2

+

4

y

2

−x

2

=0