а) При $$a = -2$$:
$$\frac{a-8}{2a+5} = \frac{-2-8}{2 \cdot (-2)+5} = \frac{-10}{-4+5} = \frac{-10}{1} = -10$$
б) При $$b = 3$$:
$$\frac{b^2 +6}{2b} = \frac{3^2 +6}{2 \cdot 3} = \frac{9+6}{6} = \frac{15}{6} = \frac{5}{2} = 2.5$$
Ответ: а) $$-10$$; б) $$2.5$$.