To solve this, we must multiply the whole equation with \frac{2-\sqrt3}{2-\sqrt3},

this will allow us to get **difference of two squares**, which states: a^2 - b^2 = (a-b)(a+b).

So by multiplying it, we get:

\frac{2 \cdot ( 2-\sqrt3)}{(2+\sqrt3)(2-\sqrt3)} = \frac{4-2\sqrt3}{2^2-(\sqrt3)^2} = \frac{4-2\sqrt3}{4-3} = 4-2\sqrt3.

So the correct answer is **(B)**

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