[tex]2(4x^{3}-5x^{2}+3x-6)-3(1-2x)^{2} = 8x^{3}-10x^{2}+6x-12-3(1-4x+4x^{2}) =\\\\=8x^{3}-10x^{2}+6x-12-3+12x-12x^{2} = \boxed{8x^{3}-22x^{2}+18x-15}[/tex]
