[tex]a) \frac{4 - {3x}^{2} }{ {x}^{2} - 2x } + \frac{3x - 1}{x - 2} = \frac{4 - {3x}^{2} }{x(x - 2)} + \frac{3x - 1}{x - 2} = \frac{4 - {3x}^{2} + (3x - 1)x }{x(x - 2)} = \frac{4 - {3x}^{2} + x(3x - 1) }{x(x - 2)} = \frac{4 - {3x}^{2} + {3x}^{2} - x }{x(x - 2)} = \frac{4 - x}{x(x - 2)} = \frac{4 - x}{ {x}^{2} - 2x } [/tex]
