(2\sqrt3-\frac{3}{2})^2-(2\sqrt3+\frac{3}{2})^2=
(2\sqrt3)^2-\not2*2\sqrt3*\frac{3}{\not2}+(\frac{3}{2})^2-[(2\sqrt3)^2+\not2*2\sqrt3*\frac{3}{\not2}+(\frac{3}{2})^2=
=4*3-6\sqrt3+\frac{9}{4}-(4*3+6\sqrt3+\frac{9}{4})=
12-6\sqrt3+\frac{9}{4}-12-6\sqrt3-\frac{9}{4}=-12\sqrt3
wzory:
(a-b)^2=a^2-2ab+b^2
(a+b)^2=a^2-2ab+b^2