Упростите выражение 2a/(a-2)+(a+7)/(8-4a)*32/(7a+a^2).

Ответ:

\[\frac{2a}{a - 2} + \frac{a + 7}{8 - 4a} \cdot \frac{32}{7a + a^{2}} =\]

\[= \frac{2a^{\backslash 4a}}{a - 2} - \frac{(a + 7) \cdot 32}{4 \cdot (a - 2) \cdot a(a + 7)} =\]

\[= \frac{8a^{2} - 32}{4a(a - 2)} = \frac{8 \cdot \left( a^{2} - 4 \right)}{4a(a - 2)} =\]

\[= \frac{2 \cdot (a - 2)(a + 2)}{a \cdot (a - 2)} = \frac{2 \cdot (a + 2)}{a}\]