1.
[tex](a-b)(a+b) = a^{2}-b^{2}\\\\\\a) \ (3-\sqrt{3})(3+\sqrt{3}) = 3^{2} -\sqrt{3}^{2} = 9-3 = 6[/tex]
2.
[tex]a) \ 4^{3}(\sqrt[3]{4})^{2}=4^{3}\cdot(4^{\frac{1}{3}})^{2} = 4^{3}\cdot4^{\frac{1}{3}\cdot2} = 4^{3}\cdot4^{\frac{2}{3}} = 4^{3+\frac{2}{3}} = 4^{\frac{11}{3}}[/tex]