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If a function satisfies `(x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-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.

A

f(x) must be polynominal 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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