Value of `f(2, 3)` if f(x + y, x - y) = xy, is _________.

Find f(x, y) if f(x + 2y, 2x + y) = 2xy.

Let 'f' be a fifferentiable real valued function satisfying f (x+2y) =f (x) +f (2y) + 6xy (x+2y) AA x, y in R. Then f ' (0), f" (1), f'(2)….. are in

If f(x+2y,x-2y)=xy, then f(x,y) equals

If f(x+2y,x-2y)=xy then f(x,y) is equal to

let f(x) be the polynomial function. It satisfies the equation 2 +f(x)* f(y) = f(x) + f(y) +f(xy) for all x and y. If f(2) =5 find f|f(2)| .

Consider f(x) is a real valued function f(x) such that f(x+y)=f(x)+f(y)+2xy, such that f(x) is differentiable for all xinR and (df)/(dx)(0)=0,then answer the following