Решение задания №2

1. a) $$rac{3x-1}{x^2} + \frac{x-9}{3x} = \frac{3(3x-1) + x(x-9)}{3x^2} = \frac{9x-3+x^2-9x}{3x^2} = \frac{x^2-3}{3x^2}$$

2. б) $$rac{1}{2a-b} - \frac{1}{2a+b} = \frac{(2a+b) - (2a-b)}{(2a-b)(2a+b)} = \frac{2a+b-2a+b}{(2a)^2 - b^2} = \frac{2b}{4a^2 - b^2}$$

3. в) $$rac{5}{c+3} - \frac{5c-2}{c^2+3c} = \frac{5}{c+3} - \frac{5c-2}{c(c+3)} = \frac{5c - (5c-2)}{c(c+3)} = \frac{5c - 5c + 2}{c(c+3)} = \frac{2}{c(c+3)}$$