Question

упростите выражение
(а-5)/(5а+25)+(3а+5)/(а^2+5а)

Answer 1

$frac{a-5}{5a+25}+ frac{3a+5}{a^2+5a} = frac{a-5}{5(a+5)}+ frac{3a+5}{a(a+5)} =frac{(a-5)a}{5a(a+5)}+ frac{5(3a+5)}{5a(a+5)} = \ \ =frac{(a-5)a+5(3a+5)}{5a(a+5)}=frac{a^2-5a+15a+25}{5a(a+5)}=frac{a^2+10a+25}{5a(a+5)}=frac{(a+5)^2}{5a(a+5)}= frac{a+5}{5a}$

Answer 2

за скобку везде вынести, 5