Question

Упростить
$( frac{a+3}{2a-5}+ frac{a+3}{a+5} ): frac{9a^2+3a^3}{a^2+5a}+ frac{2a-3}{2a-5}$

Answer 1

$(a+3)( frac{1}{2a-5}+ frac{1}{a+5})* frac{ a^{2}+5a }{9 a^{2}+3 a^{3}}+ frac{2a-3}{2a-5}=(a+3)frac{a+5+2a-5}{(2a-5)(a+5)}* frac{a(a+5)}{3 a^{2}(3+a)}$$+ frac{2a-3}{2a-5}= frac{1}{2a-5}+ frac{2a-3}{2a-5}= frac{1+2a-3}{2a-5}= frac{2(a-1)}{2a-5}$