If $x-y=\sqrt{12}$ and $x+y=\sqrt3,$ what is the value of $x^2-y^2?$

If $x-y=\sqrt{12}$ and $x+y=\sqrt3,$ what is the value of $x^2-y^2?$

(A) 3
(B) 6
(C) 9
(D) 36
(E) It cannot be determined from the information given.

Answer: B

Source: Manhattan GMAT

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