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If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = `2(x^2y - y^3), AA x, y in R`and f(1) = 2, then

A

f(x)must be polynomial function

B

f(3) = 12

C

f(0) = 0

D

f(x) may not be differentiable

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A, B, C
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