Question

M 5m²+3k² k-2m --- — ----------- + ------- 3k 15mk 5m при m=48 k=-54

Answer 1

$\frac{m}{3k} - \frac{5m {}^{2} + 3k {}^{2} }{15mk} + \frac{k - 2m}{5m} = \\ \frac{5m \times m - 5m {}^{2} + 3k {}^{2} + 3k \times (k - 2m)}{15mk} = \\ \frac{5m {}^{2} - 5m {}^{2} + 3k {}^{2} + 3k {}^{2} - 6mk}{15mk} = \\ \frac{6k {}^{2} - 6mk }{15mk} = \\ \frac{2k {}^{2} - 2mk }{5mk} = \\ \frac{2k - 2m}{5m} = \\ \frac{k - m}{2.5m} = \\ \frac{ - 54 - 48}{2.5 \times 48} = \\ \frac{ - 102}{120} = - \frac{51}{60}$