Упрости выражение: 5/12*(4,8p-4 4/5*k)-4,5*(4/7*p-0,4k).

\[\frac{5}{12} \cdot \left( 4,8p - 4\frac{4}{5}k \right) - 4,5 \cdot \left( \frac{4}{7}p - 0,4k \right) =\]

\[= \frac{5}{12} \cdot \frac{48}{10}p - \frac{5}{12} \cdot \frac{24}{5}k - \frac{45}{100} \cdot \frac{4}{7}p + \frac{45}{10} \cdot \frac{4}{10}k =\]

\[= 2p - 2k - \frac{18}{7}p + \frac{9}{5}k =\]

\[= p\left( 2^{\backslash 7} - \frac{18}{7} \right) - k\left( 2^{\backslash 5} - \frac{9}{5} \right) =\]

\[= p\left( \frac{14 - 18}{7} \right) - k\left( \frac{10 - 9}{5} \right) =\]

\[= - \frac{4}{7}p - \frac{1}{5}k = - \frac{4}{7}p - 0,2k\]