Question

Сократите выражение.

Answer 1

$\frac{5m - 9}{m - 2} + \frac{3 - 2m}{m - 2} = \frac{5m - 9 + 3 - 2m}{m - 2} = \frac{3m - 6}{m - 2} = \frac{3(m - 2)}{m - 2} = 3$

Answer 2

$\frac{5m - 9}{m - 2} - \frac{3 - 2m}{2 - m} = \\ \frac{5m - 9}{m - 2} - ( - \frac{3 - 2m}{m - 2}) = \\ \frac{5m - 9}{m - 2} + \frac{3 - 2m}{ m - 2} = \\ \frac{5m - 9 + 3 - 2m}{m - 2} = \\ \frac{3m - 6}{m - 2} = \frac{3(m - 2)}{m - 2} = 3$