If f(x+2y , x-2y)=x y , then f(x,y) equa...

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

A

`(x^(2)-y^(2))/(8)`

B

`(x^(2)-y^(2))/(4)`

C

`(x^(2)+y^(2))/(4)`

D

`(x^(2)-y^(2))/(2)`

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The correct Answer is:

A

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