Question

Спростити вираз:
(m+2)/m:(m/(m-2)-4/(m^2-2m)

Answer 1

Ответ:

1) $\frac{m+2}{m} :(\frac{m}{m-2} -\frac{4}{m^2-2m} )=\frac{m+2}{m} :(\frac{m}{m-2} -\frac{4}{m*(m-2)} )=\frac{m+2}{m} :\frac{m^2-4}{m*(m-2)} =\frac{m+2}{m} :$

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