[tex](3a - 2 {)}^{2} - 2(a + 2)(a - 2) = \\ = 9 {a}^{2} - 2 \times 3a \times 2 + 2^{2} - 2(a + 2)(a - 2) = \\ = 9 {a}^{2} - 12a + 4 - 2(a +2)(a - 2) = \\ = 9 {a}^{2} - 12a + 4 - 2( {a}^{2} - 4) = \\ = 9 {a}^{2} - 12a + 4 - 2 {a}^{2} + 8 = \\ = 7 {a}^{2} - 12a + 12[/tex]
[tex]dla \ \ \ a = - \sqrt{3} [/tex]
[tex]7( - \sqrt{3} {)}^{2} - 12 \times ( - \sqrt{3}) + 12 = \\ = 7 \times 3 + 12 \sqrt{3} + 12 = \\ = 21 + 12 \sqrt{3} + 12 = \\ = \boxed{12 \sqrt{3} + 33}[/tex]
