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If $f (x + 3 y, x - 3 y) = 12 x y,$ then $f (x, y)$ is

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a

2xy

b

2(x2-y2)

c

x2-y2

d

none of these

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detailed solution

Correct option is C

f(x+3y,x−3y)=12xy=(x+3y)2−(x−3y)2⇒f(x,y)=x2−y2.

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