Question

(3m-1/m-2 - m/m+2):(2m²+7m-2) при m=14

Answer 1

$m=14; ;\\( frac{3m-1}{m-2} -frac{m}{m+2}):(2m^2+7m-2)= frac{3m^2+5m-2-m^2+2m}{(m-2)(m+2)} cdot frac{1}{2m^2+7m-2}=\\= frac{2m^2+7m-2}{(m-2)(m+1)} cdot  frac{1}{2m^2+7m-2} =frac{1}{(m-2)(m+2)}=frac{1}{m^2-4}= frac{1}{14^2-4} =frac{1}{182}$