Задача Задача №3771316
А
А
\[ \frac{5a}{a+3}+\frac{a-6}{3a+9}\cdot\frac{135}{6a-a^2} \]
\[ \frac{a-6}{3(a+3)}\cdot\frac{135}{a(6-a)} =-\frac{45}{a(a+3)} \]
\[ \frac{5a}{a+3}-\frac{45}{a(a+3)} =\frac{5a^2-45}{a(a+3)} =\frac{5(a-3)}{a} \]
Ответ: \(\displaystyle \frac{5(a-3)}{a}=5-\frac{15}{a}\), при \(a\neq 0;-3;6\).