Question

Выполните вычитание:
5m-7/m+5 - 5m+6/m-5

Answer 1

Ответ:

$\frac{5m - 7}{m + 5} - \frac{5m + 6}{m - 5} = \frac{(5m - 7)(m - 5)}{(m + 5)(m - 5)} - \frac{(5m + 6)(m + 5)}{(m - 5)(m + 5)} = \frac{5 {m}^{2} - 25m - 7m + 35 - (5 {m}^{2} + 25m + 6m + 30)}{ {m}^{2} - 25 } = \frac{5 {m}^{2} - 25m - 7m + 35 - 5 {m}^{2} - 25m - 6m - 30}{{m}^{2} - 25} = \frac{ - 63m + 5}{{m}^{2} - 25}$