[tex]2\sqrt{3} *(\sqrt{3} -5\sqrt{6} )-3\sqrt{2} *(5\sqrt{2} -2)=\\2\sqrt{9} -10\sqrt{18} -15\sqrt{4} +6\sqrt{2} =\\2*3-10*3\sqrt{2} -15*2+6\sqrt{2} =\\6-30\sqrt{2} -30+6\sqrt{2} =\\-24-30\sqrt{2} +6\sqrt{2} =\\-24-24\sqrt{2} =-24(1+\sqrt{2} )[/tex]
[tex](\frac{2}{\sqrt{5} }) ^3:(\frac{3}{2\sqrt{5} } )^2=\\\frac{8}{\sqrt{5^3} } :\frac{9}{4\sqrt{25} } =\\\frac{8}{5\sqrt{5} } :\frac{9}{20} =\\\frac{8\sqrt{5} }{25} :\frac{9}{20} =\\\frac{8\sqrt{5} }{25}*\frac{20}{9} =\\\frac{8\sqrt{5} }{5} *\frac{4}{9} =\frac{32\sqrt{5} }{45}[/tex]
