Question

If f(x+y, x - y) = xy, then the arithmetic mean of
f(x, y) and f(y,x) is​

Answer 1

Answer:

0

Step-by-step explanation:

let a = x+y,

b = x-y,

then by adding the equations we get value of x

x = (a+b)/2

By substracing the equations we get value of y

y = (a-b)/2

therefore, f(a,b) = (a+b)x(a-b) /4

f(a,b) = (a²-b²)/4

the mean of f(x,y) and f(y,x) = (x²-y² +y²-x²)/(4x2) =0