Ответ:

[tex] \frac{1 + {m}^{2} }{m - {m}^{2} } + \frac{m + 5}{m - 1} = - \frac{1 + {m}^{2} }{ m(m - 1) } + \frac{m + 5}{m - 1} = \frac{ - 1 - {m}^{2} + {m}^{2} + 5m }{m(m - 1)} = \frac{ - 1 + 5m}{m(m - 1)} = \frac{ - 1 + 5m}{ {m}^{2} - m } [/tex]