Question

Спростіть вираз m+1/3-m + m-1/m-3 ​

Answer 1

$\frac{m+1}{3-m} + \frac{m-1}{m-3} = \frac{m+1}{3-m} + \frac{m-1}{-(m-3)} = \frac{m+1}{3-m} - \frac{m-1}{3-m} = \frac{m+1-m+1}{3-m} = \frac{2}{3-m}$

Answer 2

$m + \frac{1}{3} - m + m - \frac{1}{m} - 3 \\ - \frac{8}{3} + m - \frac{1}{m} \\ \frac{ - 8m + 3 {m}^{2} - 3 }{3m} \\ \frac{3 {m - 8m}^{2} - 3}{3m}$