[tex] \frac{1}{2x} {}^{2} + 3x - 8 = \frac{1}{4x {}^{2} } + 3x - 8 = \frac{1 + 12x {}^{3} {}^{} - 32x {}^{2} }{4x {}^{2} } = \frac{12x {}^{3 } - 32x {}^{2} + 1 }{4x {}^{2} } [/tex]