۱) الف) $\frac{\frac{x}{4}-\frac{x^2}{3}}{1-\frac{4}{x}+\frac{3}{x^2}} = \frac{\frac{x^2-x-6}{x^2}}{x^2(1-\frac{4}{x}+\frac{3}{x^2})} = \frac{x^2-x-6}{x^2-4x+3} = \frac{(x-3)(x+2)}{(x-1)(x-3)} = \frac{x+2}{x-1}$ ب) $\frac{1-\frac{1}{x}-\frac{6}{x^2}}{1-\frac{4}{x}+\frac{3}{x^2}} = \frac{\frac{x^2-x-6}{x^2}}{\frac{x^2-4x+3}{x^2}} = \frac{x^2-x-6}{x^2} \div \frac{x^2-4x+3}{x^2} = \frac{x^2-x-6}{x^2} \times \frac{x^2}{x^2-4x+3} = \frac{x^2-x-6}{x^2-4x+3} = \frac{(x-3)(x+2)}{(x-1)(x-3)} = \frac{x+2}{x-1}$