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

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

A

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

B

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

C

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

D

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

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The correct Answer is:

D

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